메뉴 건너뛰기




Volumn , Issue , 2005, Pages 1-514

Handbook of computational group theory

Author keywords

[No Author keywords available]

Indexed keywords


EID: 85057421439     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Book
Times cited : (239)

References (246)
  • 2
    • 0009943645 scopus 로고
    • On algorithmic problems in effectively complete classes of groups
    • SI Adian On algorithmic problems in effectively complete classes of groups Doklady Akad Nauk SSR 123:13-16 1958
    • (1958) Doklady Akad Nauk SSR , vol.123 , pp. 13-16
    • Adian, S.I.1
  • 3
    • 0003470665 scopus 로고
    • The Burnside Problem and Identities in Groups
    • Translated from the Russian by John Lennox and James Wiegold
    • S I Adian The Burnside Problem and Identities in Groups Springer Verlag Berlin 1979 Translated from the Russian by John Lennox and James Wiegold
    • (1979) Springer Verlag Berlin
    • Adian, S.I.1
  • 5
    • 85057400149 scopus 로고
    • And Jenny Key Designs and Their Codes volume 103 of CUP Tracts in Mathematics
    • University Press
    • EF Assmus Jr and Jenny Key Designs and Their Codes volume 103 of CUP Tracts in Mathematics Cambridge University Press 1992
    • (1992) Cambridge
    • Assmus, E.F.1
  • 6
    • 85057351566 scopus 로고
    • A procedure for obtaining simplified defining relations for a subgroup In CM Campbell and EF Robertson editors Groups St Andrews 1981 volume 71 of London Math
    • Cambridge, Cambridge University Press
    • DG Arrell S Manrai and MF Worboys A procedure for obtaining simplified defining relations for a subgroup In CM Campbell and EF Robertson editors Groups St Andrews 1981 volume 71 of London Math Soc Lecture Note Ser pages 155-159 Cambridge 1982 Cambridge University Press
    • (1982) Soc Lecture Note Ser , pp. 1
    • Arrell, D.G.1    Manrai, S.2    Worboys, M.F.3
  • 7
    • 85057414048 scopus 로고    scopus 로고
    • PhD thesis Universite Libre de Bruxelles
    • Claude Archer Classification of group extensions PhD thesis Universite Libre de Bruxelles 2002
    • (2002) Classification of Group Extensions
  • 8
    • 84980080563 scopus 로고
    • The orders of the classical simple groups
    • E Artin The orders of the classical simple groups Comm Pure Appl Math, 8:455-472 1955
    • (1955) Comm Pure Appl Math , vol.8 , pp. 455-472
    • Artin, E.1
  • 9
    • 34250133830 scopus 로고
    • On the maximal subgroups of the finite classical groups
    • M Aschbacher On the maximal subgroups of the finite classical groups Invent Math, 76:469-514 1984
    • (1984) Invent Math , vol.76 , pp. 469-514
    • Aschbacher, M.1
  • 10
    • 84966243723 scopus 로고
    • Atkinson An algorithm for finding the blocks of a permutation group
    • MD
    • MD Atkinson An algorithm for finding the blocks of a permutation group Math Comp 29:911-913 1975
    • (1975) Math Comp , vol.29 , pp. 911-913
  • 11
    • 85057384465 scopus 로고
    • Atkinson editor Computational Group
    • New York1984 (Durham, Academic Press
    • Michael D Atkinson editor Computational Group Theory London New York 1984 (Durham 1982) Academic Press
    • (1982) Theory London
    • Michael, D.1
  • 12
    • 85057410356 scopus 로고    scopus 로고
    • ATLAS of Finite Group Representations http://webmatbhamacuk/atlas/indexhtml
  • 13
    • 85057407541 scopus 로고
    • Local expansion of vertex transitive graphs and random generation in finite groups
    • 164 174 New York, Los Angeles 1991Association for Computing Machinery
    • Laszlo Babai Local expansion of vertex transitive graphs and random generation in finite groups In Theory of Computing pages 164 174 New York 1991 (Los Angeles 1991) Association for Computing Machinery
    • (1991) In Theory of Computing Pages
  • 14
    • 0002131638 scopus 로고    scopus 로고
    • A polynomial time theory for black box groups I In Groups St Andrews 1997 in Bath volume 261 of London Math
    • Cambridge, Cambridge University Press
    • L Babai and R Beals A polynomial time theory for black box groups I In Groups St Andrews 1997 in Bath volume 261 of London Math Soc Lecture Note Ser pages 30-64 Cambridge 1999 Cambridge University Press
    • (1999) Soc Lecture Note Ser , pp. 30-64
    • Babai, L.1    Beals, R.2
  • 15
    • 85057430635 scopus 로고
    • Joachim Neubiiser Hans Won dratschek and Hans Zassenhaus Crystallographic Groups of Four Dimensional Space
    • Brisbane Toronto
    • Harold Brown Rolf Billow Joachim Neubiiser Hans Won dratschek and Hans Zassenhaus Crystallographic Groups of Four Dimensional Space Wiley Interscience New York Chicester Brisbane Toronto 1978
    • (1978) Wiley Interscience New York Chicester
  • 17
    • 84966247786 scopus 로고
    • Cannon Computing in permutation and matrix groups I: Normal closure commutator subgroups series
    • Gregory Butler and John J Cannon Computing in permutation and matrix groups I: Normal closure commutator subgroups series Math Comp 39:663-670 1982
    • (1982) Math Comp , vol.39 , pp. 663-670
    • Butler, G.1    John, J.2
  • 18
    • 0011045978 scopus 로고
    • Cannon Computing in permutation and matrix groups III: Sylow subgroups
    • Gregory Butler and John J Cannon Computing in permutation and matrix groups III: Sylow subgroups J Symbolic Comput 8:241-252 1989
    • (1989) J Symbolic Comput , vol.8 , pp. 241-252
    • Butler, G.1    John, J.2
  • 19
    • 84968510708 scopus 로고
    • Cannon Computing Sylow subgroups using homomorphic images of centralizers
    • Gregory Butler and John J Cannon Computing Sylow subgroups using homomorphic images of centralizers J Symbolic Comput 12:443-458 1991
    • (1991) J Symbolic Comput , vol.12 , pp. 443-458
    • Butler, G.1    John, J.2
  • 20
    • 0004185066 scopus 로고
    • School of Mathematics and Statistics University of Sydney
    • Wieb Bosma and John Cannon Handbook of Magma Functions School of Mathematics and Statistics University of Sydney 1993
    • (1993) Handbook of Magma Functions
    • Bosma, W.1    Cannon, J.2
  • 22
  • 23
    • 0010144213 scopus 로고
    • II Some recognizable properties of solvable groups
    • I
    • G Baumslag FB Cannonito and CF Miller III Some recognizable properties of solvable groups Math Z 178:289-295 1981
    • (1981) Math Z , vol.178 , pp. 289-295
    • Baumslag, G.1    Cannonito, F.B.2    Miller, C.F.3
  • 24
    • 0033112558 scopus 로고    scopus 로고
    • Construction of finite groups
    • Hans Ulrich Besche and Bettina Eick Construction of finite groups J Symbolic Cornput 27:387-404 1999
    • (1999) J Symbolic Cornput , vol.27 , pp. 387-404
  • 25
    • 0033110657 scopus 로고    scopus 로고
    • The groups of order at most 1000 except 512 and 768
    • Hans Ulrich Besche and Bettina Eick The groups of order at most 1000 except 512 and 768 J Symbolic Cornput, 27:405-413 1999
    • (1999) J Symbolic Cornput , vol.27 , pp. 405-413
    • Besche, H.U.1    Eick, B.2
  • 26
    • 0035534533 scopus 로고    scopus 로고
    • The groups of order qn p Comm
    • Hans Ulrich Besche and Bettina Eick The groups of order qn p Comm Algebra 29:1759-1772,2001
    • (2001) Algebra , vol.29 , pp. 1759-1772
    • Besche, H.U.1    Eick, B.2
  • 27
    • 85057406938 scopus 로고
    • Beals Computing blocks of imprimitivity for small base groups in nearly linear time
    • Finkelstein and Kantor AJ Bayes J Kautsky and JW Wamsley Computation in nilpotent groups (application), Conf Theory of Groups volume 372 of Lecture Notes in Math, pages, Berlin Heidelberg New York, (Canberra 1973) Springer Verlag
    • Robert M Beals Computing blocks of imprimitivity for small base groups in nearly linear time In Finkelstein and Kantor AJ Bayes J Kautsky and JW Wamsley Computation in nilpotent groups (application) In Proc Second Internat Conf Theory of Groups volume 372 of Lecture Notes in Math, pages 82-89 Berlin Heidelberg New York 1974 (Canberra 1973) Springer Verlag
    • (1974) In Proc Second Internat , pp. 82-89
    • Robert, M.1
  • 28
    • 0036025697 scopus 로고    scopus 로고
    • Permutations with restricted cycle structure and an algorithmic application Corribin Probab
    • R Beals CR Leedham Green AC Niemeyer CE Praeger and A Seress Permutations with restricted cycle structure and an algorithmic application Corribin Probab Comput 11:447-464 2002
    • (2002) Comput , vol.11 , pp. 447-464
    • Beals, R.1    Leedham Green, C.R.2    Niemeyer, A.C.3    Praeger, C.E.4    Seress, A.5
  • 29
    • 0000207328 scopus 로고
    • The transitive groups of degree up to 11 Comm
    • G Butler and J McKay The transitive groups of degree up to 11 Comm Algebra 11:863-911 1983
    • (1983) Algebra , vol.11 , pp. 863-911
    • Butler, G.1    McKay, J.2
  • 31
    • 0002294936 scopus 로고    scopus 로고
    • Fast constructive recognition of a black box group isomorphic to Sn or An using Goldbach’s conjecture
    • S Bratus and I Pak Fast constructive recognition of a black box group isomorphic to Sn or An using Goldbach’s conjecture J Symbolic Comput 29:33-57 2000
    • (2000) J Symbolic Comput , vol.29 , pp. 33-57
    • Bratus, S.1    Pak, I.2
  • 32
    • 84968503291 scopus 로고
    • An algorithm for the determination of space groups
    • Harold Brown An algorithm for the determination of space groups Math Comp 23:499-514 1969
    • (1969) Math Comp , vol.23 , pp. 499-514
  • 33
    • 0037331290 scopus 로고    scopus 로고
    • Constructive recognition of classical groups in their natural representation
    • PA Brooksbank Constructive recognition of classical groups in their natural representation J Symbolic Comput, 35:195-239 2003
    • (2003) J Symbolic Comput , vol.35 , pp. 195-239
    • Brooksbank, P.A.1
  • 34
    • 0021550123 scopus 로고
    • On the complexity of matrix group problems I In Proc 25th IEEE Sympos
    • Laszlo Babai and Endre Szemeredi On the complexity of matrix group problems I In Proc 25th IEEE Sympos Foundations Comp Sci pages 229-240 1984
    • (1984) Foundations Comp Sci , pp. 229-240
    • Babai, L.1    Szemeredi, E.2
  • 35
    • 84967895923 scopus 로고
    • The history and basic features of the critical pair/completion procedure
    • B Buchberger The history and basic features of the critical pair/completion procedure J Symbolic Comput 3:3-38 1987
    • (1987) J Symbolic Comput , vol.3 , pp. 3-38
    • Buchberger, B.1
  • 36
    • 0000721027 scopus 로고
    • On an unsettled question in the theory of discontinuous groups
    • W Burnside On an unsettled question in the theory of discontinuous groups Quart J Pure Appl Math 33:230-238 1902
    • (1902) Quart J Pure Appl Math , vol.33 , pp. 230-238
    • Burnside, W.1
  • 37
    • 0010950533 scopus 로고
    • Computing normalizers in permutation groups
    • Gregory Butler Computing normalizers in permutation groups J Algorithms 4:163-175 1983
    • (1983) J Algorithms , vol.4 , pp. 163-175
  • 38
    • 85057392231 scopus 로고    scopus 로고
    • On computing double coset representatives in permutation groups
    • Atk84
    • Gregory Butler On computing double coset representatives in permutation groups In Atkinson [Atk84] pages 283-290
    • Atkinson , pp. 283-290
  • 39
    • 85057412324 scopus 로고
    • Fundamental Algorithms for Permutation Groups volume 559 of Lecture Notes in Comput
    • Berlin Heidelberg New York
    • Gregory Butler Fundamental Algorithms for Permutation Groups volume 559 of Lecture Notes in Comput Sci Springer Verlag Berlin Heidelberg New York 1991
    • (1991) Sci Springer Verlag
  • 40
    • 38249000754 scopus 로고
    • The transitive groups of degree fourteen and fifteen
    • Gregory Butler The transitive groups of degree fourteen and fifteen J Symbolic Comput 16:413-422 1993
    • (1993) J Symbolic Comput , vol.16 , pp. 413-422
  • 41
    • 0002097593 scopus 로고
    • Finite permutation groups and finite simple groups Bull
    • PJ Cameron Finite permutation groups and finite simple groups Bull Lon Math Soc 13:1-22 1981
    • (1981) Lon Math Soc , vol.13 , pp. 1-22
    • Cameron, P.J.1
  • 42
    • 85057377797 scopus 로고    scopus 로고
    • Cameron Permutation Groups volume 45 of London Math
    • Cambridge University Press Cambridge
    • Peter J Cameron Permutation Groups volume 45 of London Math Soc Stud Texts Cambridge University Press Cambridge 1999
    • (1999) Soc Stud Texts
    • Peter, J.1
  • 44
    • 0001723938 scopus 로고
    • Cannon Construction of defining relators for finite groups
    • John J Cannon Construction of defining relators for finite groups Discrete Math, 5:105-129 1973
    • (1973) Discrete Math , vol.5 , pp. 105-129
    • John, J.1
  • 45
    • 0000506625 scopus 로고
    • Cannon The combinatorial structure of cocompact discrete hyperbolic group Georri
    • James W Cannon The combinatorial structure of cocompact discrete hyperbolic group Georri Dedicata 296:123-148 1984
    • (1984) Dedicata , vol.296 , pp. 123-148
    • James, W.1
  • 46
    • 85057378207 scopus 로고
    • Carter Simple Groups of Lie Type
    • New York Sydney Toronto
    • Roger W Carter Simple Groups of Lie Type John Wiley and Sons London New York Sydney Toronto 1972
    • (1972) John Wiley and Sons London
    • Roger, W.1
  • 47
    • 0031236048 scopus 로고    scopus 로고
    • Computing chief series composition series and socles in large permutation groups
    • JJ Cannon BC Cox and DF Holt Computing chief series composition series and socles in large permutation groups J Symbolic Comput 24:285-301 1997
    • (1997) J Symbolic Comput , vol.24 , pp. 285-301
    • Cannon, J.J.1    Cox, B.C.2    Holt, D.F.3
  • 48
    • 0031234496 scopus 로고    scopus 로고
    • Computing Sylow subgroups of permutation groups
    • JJ Cannon BC Cox and DF Holt Computing Sylow subgroups of permutation groups J Symbolic Comput 24:303-316 1997
    • (1997) J Symbolic Comput , vol.24 , pp. 303-316
    • Cannon, J.J.1    Cox, B.C.2    Holt, D.F.3
  • 49
    • 0012371559 scopus 로고    scopus 로고
    • Computing the subgroups of a permutation group
    • JJ Cannon BC Cox and DF Holt Computing the subgroups of a permutation group J Symbolic Comput 31:149-161 2001
    • (2001) J Symbolic Comput , vol.31 , pp. 149-161
    • Cannon, J.J.1    Cox, B.C.2    Holt, D.F.3
  • 51
    • 85057407473 scopus 로고
    • Theory of Groups of Finite Order Cambridge University Press, 1955 New York 2nd edition
    • W Burnside Theory of Groups of Finite Order Cambridge University Press Reprinted by Dover 1955 New York 2nd edition 1911
    • (1911) Reprinted by Dover
    • Burnside, W.1
  • 52
  • 53
    • 11244259315 scopus 로고    scopus 로고
    • Applications and adaptations of the low index subgroups procedure
    • M Conder and P Dobcsanyi Applications and adaptations of the low index subgroups procedure Math Comp 74:485-497 2005
    • (2005) Math Comp , vol.74 , pp. 485-497
    • Conder, M.1    Dobcsanyi, P.2
  • 54
    • 84966219196 scopus 로고
    • Dirnino George Havas and Jane MWatson Implementation and analysis of the Todd Coxeter algorithm
    • John J Cannon Lucien A Dirnino George Havas and Jane MWatson Implementation and analysis of the Todd Coxeter algorithm Math Comp 27:463-490 1973
    • (1973) Math Comp , vol.27 , pp. 463-490
    • Johncannon, J.1    Lucien, A.2
  • 55
    • 4344567672 scopus 로고    scopus 로고
    • Pecial polycyclic generating sequences for finite soluble groups
    • S
    • John Cannon Bettina Eick and Charles Leedharn Green Special polycyclic generating sequences for finite soluble groups To appear in J Symbolic Comput 2004
    • (2004) To Appear in J Symbolic Comput
  • 59
    • 0037339399 scopus 로고    scopus 로고
    • Automorphism group computation and isomorphism testing in finite groups
    • John J Cannon and Derek F Holt Automorphism group computation and isomorphism testing in finite groups J Symbolic Comput 35:241-267 2003
    • (2003) J Symbolic Comput , vol.35 , pp. 241-267
    • Johncannon, J.1    And Derek Holt, F.2
  • 60
    • 1942541451 scopus 로고    scopus 로고
    • Computing maximal subgroups of finite groups
    • John J Cannon and Derek F Holt Computing maximal subgroups of finite groups J Symbolic Comput 37:589-609 2004
    • (2004) J Symbolic Comput , vol.37 , pp. 589-609
    • Johncannon, J.1    Derekholt, F.2
  • 61
    • 0001473908 scopus 로고
    • Geodesic automation and growth functions for Artin groups of finite type
    • R Charney Geodesic automation and growth functions for Artin groups of finite type Math Ann 301:307-324 1995
    • (1995) Math Ann , vol.301 , pp. 307-324
    • Charney, R.1
  • 62
    • 85057357636 scopus 로고    scopus 로고
    • The CHEVIE Homepage http://wwwmathrwth aachende/homes/CHEVIE/
  • 66
    • 85057386988 scopus 로고    scopus 로고
    • Rivest and Clifford Stein Introduction to Algorithms
    • MA London 2nd edition
    • Thomas H Cormen Charles E Leiserson Ronald L Rivest and Clifford Stein Introduction to Algorithms MIT Press Cambridge MA London 2nd edition 2002
    • (2002) MIT Press Cambridge
    • Cormen, T.H.1    Leiserson, C.2
  • 68
    • 0002807467 scopus 로고
    • Wright Some remarks on the computation of complements and normalizes in soluble groups
    • Frank Celler Joachim Neubiiser and Charles R B Wright Some remarks on the computation of complements and normalizes in soluble groups Acta Applicandae Mathematicae 21:57-76 1990
    • (1990) Acta Applicandae Mathematicae , vol.21 , pp. 57-76
    • Celler, F.1    Neubiiser, J.2    Charles, R.B.3
  • 69
    • 85057387922 scopus 로고
    • A Course in Computational Algebraic Number Theory volume 138 of Graduate
    • Springer Verlag Inc New York
    • Henri Cohen A Course in Computational Algebraic Number Theory volume 138 of Graduate Texts in Math Springer Verlag Inc New York 1973
    • (1973) Texts in Math
  • 70
    • 85057376612 scopus 로고    scopus 로고
    • Conway polynomials for finite fields http://www mathrwth aachende/~FrankLuebeck/ConwayPol/
  • 71
    • 85057424338 scopus 로고    scopus 로고
    • The clrscode Package for La'TeX2e http://wwwcsdartmouthedu/thc/clrscode/
  • 73
    • 0002376646 scopus 로고
    • A deficiency zero presentation for SL(2, p) Bull
    • CM Campbell and EF Robertson A deficiency zero presentation for SL(2, p) Bull Lon Math Soc 12:17-20 1980
    • (1980) Lon Math Soc , vol.12 , pp. 17-20
    • Campbell, C.M.1    Robertson, E.F.2
  • 74
    • 0030692213 scopus 로고    scopus 로고
    • On the computation of con jugacy classes in permutation groups
    • W Kuchlin editor, Maui July 21 23 1997, Association for Computing Machinery
    • JJ Cannon and B Souvignier On the computation of con jugacy classes in permutation groups In W Kuchlin editor Proceedings of International Symposium on Symbolic and Algebraic Computation Maui July 21 23 1997 pages 392-399 Association for Computing Machinery 1997
    • (1997) Proceedings of International Symposium on Symbolic and Algebraic Computation , pp. 392-399
    • Cannon, J.J.1    Souvignier, B.2
  • 75
    • 85057414726 scopus 로고    scopus 로고
    • On the computation of normal subgroups in permutation groups
    • JJ Cannon and B Souvignier On the computation of normal subgroups in permutation groups unpublished 1998
    • (1998) Unpublished
    • Cannon, J.J.1    Souvignier, B.2
  • 76
    • 85023205150 scopus 로고
    • Matrix multiplication via arithmetic progressions
    • D Coppersmith and S Winograd Matrix multiplication via arithmetic progressions J Symbolic Comput 8:251-280,1990
    • (1990) J Symbolic Comput , vol.8 , pp. 251-280
    • Coppersmith, D.1    Winograd, S.2
  • 77
    • 84966220369 scopus 로고
    • A new algorithm for factoring polynomials over a finite field
    • DG Cantor and H Zassenhaus A new algorithm for factoring polynomials over a finite field Math Comp 36:587-592 1981
    • (1981) Math Comp , vol.36 , pp. 587-592
    • Cantor, D.G.1    Zassenhaus, H.2
  • 78
    • 0344489759 scopus 로고
    • Über unendliche diskontinuierliche Gruppen
    • M Dehn Über unendliche diskontinuierliche Gruppen Math Ann 71:116-144 1911
    • (1911) Math Ann , vol.71 , pp. 116-144
    • Dehn, M.1
  • 79
    • 85057358942 scopus 로고    scopus 로고
    • Almost Bieberbach Groups: Affine and Polynomial Structures volume 1639 of Lecture notes in Math
    • Karel Dekimpe Almost Bieberbach Groups: Affine and Polynomial Structures volume 1639 of Lecture notes in Math Springer 1996
    • (1996) Springer
  • 80
    • 0023292356 scopus 로고
    • Computing short generating sequences
    • JR Driscoll and ML Furst Computing short generating sequences Info and Cornput 72:117-132 1987
    • (1987) Info and Cornput , vol.72 , pp. 117-132
    • Driscoll, J.R.1    Furst, M.L.2
  • 83
    • 0011669542 scopus 로고
    • Dixon High speed computation of group characters
    • John D
    • John D Dixon High speed computation of group characters Numer Math, 10:446-450 1967
    • (1967) Numer Math , vol.10 , pp. 446-450
  • 84
    • 0002103217 scopus 로고
    • Dixon The solvable length of a solvable linear group
    • John D Dixon The solvable length of a solvable linear group Math Z 107:151-158 1968
    • (1968) Math Z , vol.107 , pp. 151-158
    • John, D.1
  • 85
    • 84976027917 scopus 로고
    • Dixon and Brian Mortimer The primitive permutation groups of degree less than 1000
    • John D Dixon and Brian Mortimer The primitive permutation groups of degree less than 1000 Math Proc Camb Phil Soc 103:213-238 1988
    • (1988) Math Proc Camb Phil Soc , vol.103 , pp. 213-238
    • John, D.1
  • 86
    • 85057423551 scopus 로고    scopus 로고
    • Dixon and Brian Mortimer Permutation Groups volume 163 of Graduate Texts
    • New York Heidelberg Berlin
    • John D Dixon and Brian Mortimer Permutation Groups volume 163 of Graduate Texts in Math Springer Verlag New York Heidelberg Berlin 1996
    • (1996) Math Springer Verlag
    • John, D.1
  • 87
    • 11244338952 scopus 로고
    • Determining subgroups of a given finite index in a finitely presented group
    • Anke Dietze and Mary Schaps Determining subgroups of a given finite index in a finitely presented group Canad J Math 26:769-782 1974
    • (1974) Canad J Math , vol.26 , pp. 769-782
  • 88
    • 3042652298 scopus 로고    scopus 로고
    • The virtual Haken conjecture: Experiments and examples Georn
    • N M Dunfield and W P Thurston The virtual Haken conjecture: experiments and examples Georn Topol 7:399-441 2003
    • (2003) Topol , vol.7 , pp. 399-441
    • Dunfield, N.M.1    Thurston, W.P.2
  • 90
    • 0013326025 scopus 로고
    • The minimum length generator problem is NP hard
    • S Even and O Goldreich The minimum length generator problem is NP hard J Algorithms 2:311-313 1981
    • (1981) J Algorithms , vol.2 , pp. 311-313
    • Even, S.1    Goldreich, O.2
  • 91
    • 0008953863 scopus 로고    scopus 로고
    • Computing maximal subgroups and Wyckoff positions of space groups
    • Bettina Eick F Gahler and W Nickel Computing maximal subgroups and Wyckoff positions of space groups Acta Cryst A 53:467-474 1997
    • (1997) Acta Cryst A , vol.53 , pp. 467-474
    • Eick, B.1    Gahler, F.2    Nickel, W.3
  • 92
    • 3543043663 scopus 로고    scopus 로고
    • Computing the maximal subgroups of a permutation group I In Kantor and Seress Bettina Eick and Burkhard Hofling The solvable primitive permutation groups of degree at most 6560
    • Bettina Eick and A Hulpke Computing the maximal subgroups of a permutation group I In Kantor and Seress Bettina Eick and Burkhard Hofling The solvable primitive permutation groups of degree at most 6560 LMS J Comput Math 6:29-39 2003
    • (2003) LMS J Comput Math , vol.6 , pp. 29-39
    • Eick, B.1    Hulpke, A.2
  • 93
    • 0000971087 scopus 로고
    • The use of Knuth Bendix methods to solve the word problem in automatic groups
    • EHR91] DBA Epstein DF Holt and SE Rees The use of Knuth Bendix methods to solve the word problem in automatic groups J Symbolic Comput 12:397-414 1991
    • (1991) J Symbolic Comput , vol.12 , pp. 397-414
    • Epstein, D.B.1    Holt, D.F.2    Rees, S.E.3
  • 95
    • 85057399899 scopus 로고    scopus 로고
    • Special presentations for finite soluble groups and computing (Pre) Frattini subgroups
    • Finkelstein and Kantor Bettina Eick, Habilitation sschrift Universitat Kassel
    • Bettina Eick Special presentations for finite soluble groups and computing (pre) Frattini subgroups In Finkelstein and Kantor Bettina Eick Algorithms for polycyclic groups Habilitation sschrift Universitat Kassel 2001
    • (2001) Algorithms for Polycyclic Groups
  • 96
    • 85057373099 scopus 로고    scopus 로고
    • Computing with infinite polycyclic groups In Kantor and Seress Bettina Eick Orbit stabilizer problems and computing normalizes for polycyclic groups
    • Bettina Eick
    • Bettina Eick Computing with infinite polycyclic groups In Kantor and Seress Bettina Eick Orbit stabilizer problems and computing normalizes for polycyclic groups J Symbolic Comput 34:1 19 2002
    • (2002) J Symbolic Comput , vol.34 , pp. 1 19
  • 99
    • 85057427202 scopus 로고    scopus 로고
    • An infinite polycyclic quotient algorithm Submitted
    • Bettina Eick AC Niemeyer and O Panaia An infinite polycyclic quotient algorithm Submitted
    • Eick, B.1    Niemeyer, A.C.2    Panaia, O.3
  • 101
    • 0038129642 scopus 로고    scopus 로고
    • On the orbit stabilizer problem for integral matrix actions of polycyclic groups
    • Bettina Eick and Gretchen Ostheimer On the orbit stabilizer problem for integral matrix actions of polycyclic groups Math Comp 72:1511 1529 2003
    • (2003) Math Comp , vol.72 , pp. 1511 1529
    • Eick, B.1    Ostheimer, G.2
  • 102
    • 84974127016 scopus 로고
    • On minimal faithful permutation representations of finite groups
    • D Easdown and CE Praeger On minimal faithful permutation representations of finite groups Bull Aust Math Soc 38:207 220 1988
    • (1988) Bull Aust Math Soc , vol.38 , pp. 207 220
    • Easdown, D.1    Praeger, C.E.2
  • 103
    • 0036172866 scopus 로고    scopus 로고
    • Bettina Eick and Charles RB Wright Computing subgroups by exhibition in finite solvable groups
    • Bettina Eick and Charles RB Wright Computing subgroups by exhibition in finite solvable groups J Symbolic Comput 33:129 143 2002
    • (2002) J Symbolic Comput , vol.33 , pp. 129 143
  • 104
    • 0000575661 scopus 로고
    • Programmierung der Restklassenabzahlung einer Gruppe nach Untergruppen Numer
    • H Felsch Programmierung der Restklassenabzahlung einer Gruppe nach Untergruppen Numer Math 3:250-256 1961
    • (1961) Math , vol.3 , pp. 250-256
    • Felsch, H.1
  • 106
    • 85057406052 scopus 로고
    • Groups and Computation volume 11 of
    • DIM ACS Series (DIMACS 1991)
    • Larry Finkelstein and William M Kantor editors Groups and Computation volume 11 of Amer Math Soc DIM ACS Series (DIMACS 1991) 1993
    • (1993) Amer Math Soc
  • 107
    • 85057424433 scopus 로고    scopus 로고
    • Groups and Computation II volume 28 of
    • DIMACS Series (DIMACS 1995)
    • Larry Finkelstein and William M Kantor editors Groups and Computation II volume 28 of Amer Math Soc DIMACS Series (DIMACS 1995) 1997
    • (1997) Amer Math Soc
  • 108
    • 0000643635 scopus 로고
    • Uber ein Programm zur Berechnung der Automorphismengruppe einer endlichen Gruppe
    • V Felsch and J Neubiiser Uber ein Programm zur Berechnung der Automorphismengruppe einer endlichen Gruppe Numer Math, 11:277-292 1968
    • (1968) Numer Math , vol.11 , pp. 277-292
    • Felsch, V.1    Neubiiser, J.2
  • 109
    • 85057357533 scopus 로고
    • On a programme for the determination of the automorphism group of a finite group In Computational Problems in Abstract Algebra pages 59 60 Oxford
    • (Oxford 1967) Pergamon Press
    • V Felsch and J Neubiiser On a programme for the determination of the automorphism group of a finite group In Computational Problems in Abstract Algebra pages 59 60 Oxford London Edinburgh 1970 (Oxford 1967) Pergamon Press
    • (1970) London Edinburgh
    • Felsch, V.1    Neubiiser, J.2
  • 110
    • 84968496095 scopus 로고
    • An algorithm for the computation of conjugacy classes and centralizers in p groups
    • Edward W Ng editor, Berlin Heidelberg New York, (Marseille 1979) Springer Verlag
    • V Felsch and J Neubiiser An algorithm for the computation of conjugacy classes and centralizers in p groups In Edward W Ng editor Symbolic and Algebraic Computation volume 72 of Lecture Notes in Comput Sci pages 452-465 Berlin Heidelberg New York 1979 (Marseille 1979) Springer Verlag
    • (1979) Symbolic and Algebraic Computation Volume 72 of Lecture Notes in Comput Sci , pp. 452-465
    • Felsch, V.1    Neubiiser, J.2
  • 111
    • 85057405988 scopus 로고    scopus 로고
    • The GAP Character Table Library http://www mathrwth aachende/~ThomasBreuer/ctbllib/
  • 112
    • 85057412944 scopus 로고    scopus 로고
    • GAP Groups Algorithms and Programming
    • The GAP Group GAP Groups Algorithms and Programming Version 4 4: 2004 (http://wwwgap systemorg)
    • (2004) Version , pp. 4 4
  • 113
    • 0000967396 scopus 로고
    • Uber dieO Untergruppe endlicher Grup pen
    • Wolfgang Gaschiitz Uber dieO Untergruppe endlicher Grup pen Math Z 58:160-170 1953
    • (1953) Math Z , vol.58 , pp. 160-170
  • 115
    • 0003600266 scopus 로고
    • Editors Sur les groupes hy perboliques d’apres Mikhael Gromov volume 83 of Progress in Mathematics
    • Inc Boston MA
    • E Ghys and P de la Harpe editors Sur les groupes hy perboliques d’apres Mikhael Gromov volume 83 of Progress in Mathematics Birkhauser Boston Inc Boston MA 1990
    • (1990) Birkhauser Boston
    • Ghys, E.1    De La Harpe, P.2
  • 116
    • 21744442170 scopus 로고    scopus 로고
    • Writing representations over minimal fields Comm
    • SP Glasby and RB Howlett Writing representations over minimal fields Comm Algebra 25:1703-1711 1997
    • (1997) Algebra , vol.25 , pp. 1703-1711
    • Glasby, S.P.1    Howlett, R.B.2
  • 117
    • 0000091155 scopus 로고
    • Presentations of groups and monoids
    • RH Gilman Presentations of groups and monoids J Algebra 57:544-554 1979
    • (1979) J Algebra , vol.57 , pp. 544-554
    • Gilman, R.H.1
  • 119
    • 84963057471 scopus 로고
    • Some remarks on varieties of groups
    • Graham Higman Some remarks on varieties of groups Quart J Math Oxford Ser (2) 10:165-178 1959
    • (1959) Quart J Math Oxford Ser , vol.10 , Issue.2 , pp. 165-178
  • 120
    • 85057388206 scopus 로고    scopus 로고
    • Four Manifolds Geometries and Knots volume 5 of Geometry and Topology Monographs
    • University of Warwick
    • JA Hillman Four Manifolds Geometries and Knots volume 5 of Geometry and Topology Monographs Geometry and Topology Publications Mathematics Institute University of Warwick 2002
    • (2002) Geometry and Topology Publications Mathematics Institute
    • Hillman, J.A.1
  • 122
    • 85057366954 scopus 로고
    • Distinguishing eleven crossing knots
    • Atkinson G Hiss and K Lux, Oxford University Press
    • George Havas and LG Kovacs Distinguishing eleven crossing knots In Atkinson G Hiss and K Lux Drauer Trees of Sporadic Groups Oxford University Press 1989
    • (1989) Drauer Trees of Sporadic Groups
    • Havas, G.1    Kovacs, L.G.2
  • 123
    • 3242703416 scopus 로고    scopus 로고
    • New algorithms for generating Conway polynomials over finite fields
    • LS Heath and NA Loehr New algorithms for generating Conway polynomials over finite fields J Symbolic Comput 38:1003-1024,2004
    • (2004) J Symbolic Comput , vol.38 , pp. 1003-1024
    • Heath, L.S.1    Loehr, N.A.2
  • 124
    • 0030587312 scopus 로고    scopus 로고
    • O’Brien and Sarah Rees Computing matrix group decompositions with respect to a normal subgroup
    • Derek F Holt CR Leedham Green EA O’Brien and Sarah Rees Computing matrix group decompositions with respect to a normal subgroup J Algebra 184:818-838 1996
    • (1996) J Algebra , vol.184 , pp. 818-838
    • Derek1    Holt Leedham Green, F.2
  • 125
    • 0030587311 scopus 로고    scopus 로고
    • O’Brien and Sarah Rees Testing matrix groups for primitivity
    • Derek F, Holt C R, Leedham Green E A O’Brien and Sarah Rees Testing matrix groups for primitivity J Algebra 184:795-817 1996
    • (1996) J Algebra , vol.184 , pp. 795-817
    • Derek, F.1    Holt, C.R.2    Leedham Green, E.A.3
  • 126
    • 0031232429 scopus 로고    scopus 로고
    • Majewski Integer matrix diago nalization
    • George Havas and Bohdan S Majewski Integer matrix diago nalization J Symbolic Comput 24:399-408 1997
    • (1997) J Symbolic Comput , vol.24 , pp. 399-408
    • Havas, G.1    Bohdan, S.2
  • 127
    • 85023906300 scopus 로고    scopus 로고
    • Extended GCD and Hermite normal form algorithms via lattice basis reduction (Addenda and errata)
    • G Havas Bohdan S Majewski and KR Matthews Extended GCD and Hermite normal form algorithms via lattice basis reduction (addenda and errata) Experimental Math 8:205 1999
    • (1999) Experimental Math , vol.8 , pp. 205
    • Havas, G.1    Havas, G.2    Bohdan Majewski, S.3    Matthews, K.R.4
  • 129
    • 85057376165 scopus 로고
    • Application of computers to questions like those of Burnside In Burnside Groups volume 806 of Lecture Notes in Math pages 211 230 Berlin Heidelberg New York, Bielefeld 1977) Springer Verlag
    • George Havas and MF Newman Application of computers to questions like those of Burnside In Burnside Groups volume 806 of Lecture Notes in Math pages 211 230 Berlin Heidelberg New York 1980 (Bielefeld 1977) Springer Verlag
    • (1980)
    • Havas, G.1    Newman, M.F.2
  • 130
    • 0009182984 scopus 로고
    • Groups of deficiency zero In G Baumslag et al editors Geometric arid Computational Perspectives on Infinite Groups volume 25 of Amer
    • DIM ACS Series pages, (DIM ACS 1994
    • George Havas MF Newman and EA O’Brien Groups of deficiency zero In G Baumslag et al editors Geometric arid Computational Perspectives on Infinite Groups volume 25 of Amer Math Soc DIM ACS Series pages 53-67 (DIM ACS 1994) 1995
    • (1995) Math Soc , pp. 53-67
    • Havas, G.1    Newman, M.F.2    O’Brien, E.A.3
  • 131
    • 0039773006 scopus 로고
    • The calculation of the Schur multiplier of a permutation group
    • Atkinson DF Holt A computer program for the calculation of a covering group of a finite group
    • DF Holt The calculation of the Schur multiplier of a permutation group In Atkinson DF Holt A computer program for the calculation of a covering group of a finite group J Pure Appl Algebra 35:287-295 1985
    • (1985) J Pure Appl Algebra , vol.35 , pp. 287-295
    • Holt, D.F.1
  • 132
    • 33746850615 scopus 로고
    • The mechanical computation of first and second cohomology groups
    • DF Holt The mechanical computation of first and second cohomology groups J Symbolic Comput 1:351-361 1985
    • (1985) J Symbolic Comput , vol.1 , pp. 351-361
    • Holt, D.F.1
  • 133
    • 0011027190 scopus 로고
    • The computation of normalizers in permutation groups
    • DF Holt The computation of normalizers in permutation groups J Symbolic Comput, 12:499-516 1991
    • (1991) J Symbolic Comput , vol.12 , pp. 499-516
    • Holt, D.F.1
  • 134
    • 85057391298 scopus 로고
    • Holt The Warwick automatic group software
    • G Baumslag et al editors Geometric and Computational Perspectives on Infinite Groups volume 25 of Amer, DIMACS Series pages, (DIMACS 1994
    • Derek F Holt The Warwick automatic group software In G Baumslag et al editors Geometric and Computational Perspectives on Infinite Groups volume 25 of Amer Math Soc DIMACS Series pages 69-82 (DIMACS 1994) 1995
    • (1995) Math Soc , pp. 69-82
    • Derek, F.1
  • 135
    • 0031285738 scopus 로고    scopus 로고
    • Holt Representing quotients of permutation groups Quart
    • Derek F
    • Derek F Holt Representing quotients of permutation groups Quart J Math (Oxford) 48:347-350 1997
    • (1997) J Math (Oxford) , vol.48 , pp. 347-350
  • 136
    • 0002197352 scopus 로고
    • An nlogn algorithm for minimizing the states in a finite automaton
    • Z Kohavi editor, New York, Academic Press
    • JE Hopcroft An nlogn algorithm for minimizing the states in a finite automaton In Z Kohavi editor The Theory of Machines and Computations pages 189-196 New York 1971 Academic Press
    • (1971) The Theory of Machines and Computations , pp. 189-196
    • Hopcroft, J.E.1
  • 137
    • 85057419363 scopus 로고
    • Holt and W Plesken Perfect Groups Clarendon Press Oxford
    • Derek F Holt and W Plesken Perfect Groups Clarendon Press Oxford 1989
    • (1989)
    • Derek, F.1
  • 138
    • 85057380768 scopus 로고
    • Holt and Sarah Rees Testing for isomorphism between finitely presented groups In Groups Combinatorics and Geometry volume 165 of London Math
    • London, Durham 1989 Cambridge University Press
    • Derek F Holt and Sarah Rees Testing for isomorphism between finitely presented groups In Groups Combinatorics and Geometry volume 165 of London Math Soc Lecture Note Ser pages 459-475 London 1992 Durham 1989 Cambridge University Press
    • (1992) Soc Lecture Note Ser , pp. 459-475
    • Derek, F.1
  • 139
    • 85057363331 scopus 로고
    • Holt and Sarah Rees A graphics system for displaying finite quotients of finitely presented groups
    • Finkelstein and Kantor Donald E Knuth, Seminumerical Algorithms Addison Wesley Massachusetts
    • Derek F Holt and Sarah Rees A graphics system for displaying finite quotients of finitely presented groups In Finkelstein and Kantor Donald E Knuth The Art of Computer Programming Volume 2: Seminumerical Algorithms Addison Wesley Massachusetts 1969
    • (1969) The Art of Computer Programming , pp. 2
    • Derek, F.1
  • 140
  • 141
    • 85057371168 scopus 로고
    • Notes on efficient representation of perm groups
    • D Knuth Notes on efficient representation of perm groups 1981
    • (1981)
    • Knuth, D.1
  • 142
    • 37049187759 scopus 로고
    • Perfect shuffles and their relation to math
    • G Kolata Perfect shuffles and their relation to math Science 216:505-506 1982
    • (1982) Science , vol.216 , pp. 505-506
    • Kolata, G.1
  • 143
    • 85057424692 scopus 로고    scopus 로고
    • Kantor and Akos Seress editors Groups and Computation III volume 8 of Ohio State University
    • Berlin New York 1997, DIMACS, Walter de Gruyter
    • William M Kantor and Akos Seress editors Groups and Computation III volume 8 of Ohio State University Research Institute Publications Berlin New York 1997 (DIMACS 1999) Walter de Gruyter
    • (1999) Research Institute Publications
    • William, M.1
  • 144
    • 1942465831 scopus 로고    scopus 로고
    • Black box classical groups Memoirs Amer
    • WM Kantor and A Seress Black box classical groups Memoirs Amer Math Soc 149 No 708 2001
    • (2001) Math Soc , vol.708 , pp. 149
    • Kantor, W.M.1    Seress, A.2
  • 145
    • 85057423126 scopus 로고
    • Computing double coset representatives for the generation of solvable groups In Jacques Calmet editor Computer algebra : EUROCAM ’82 European Computer Algebra Conference Marseille France 5 7 April 1982 volume 144 of Lecture Notes
    • Berlin, Springer
    • Reinhard Laue Computing double coset representatives for the generation of solvable groups In Jacques Calmet editor Computer algebra : EUROCAM ’82 European Computer Algebra Conference Marseille France 5 7 April 1982 volume 144 of Lecture Notes in Comput Sci pages 65-70 Berlin 1982 Springer
    • (1982) Comput Sci , pp. 65-70
  • 146
    • 84969376643 scopus 로고
    • A catalogue of complete presentations
    • P LeChenadec A catalogue of complete presentations J Symbolic Comput 2:363-381 1986
    • (1986) J Symbolic Comput , vol.2 , pp. 363-381
    • Lechenadec, P.1
  • 147
    • 0000056856 scopus 로고
    • Coset enumeration on digital computers
    • John Leech Coset enumeration on digital computers Proc Camb Phil Soc 59:257-267 1963
    • (1963) Proc Camb Phil Soc , vol.59 , pp. 257-267
  • 149
    • 85057367371 scopus 로고
    • Leon Finding the order of a permutation group
    • Bruce Cooperstein and Geoffrey Mason editors Finite Groups volume 37 of Proc, Providence RI 1980, Santa Cruz, Arner Math Soc
    • Jeffrey S Leon Finding the order of a permutation group In Bruce Cooperstein and Geoffrey Mason editors Finite Groups volume 37 of Proc Sympos Pure Math pages 511-517 Providence RI 1980 (Santa Cruz 1979) Arner Math Soc
    • (1979) Sympos Pure Math , pp. 511-517
    • Jeffrey, S.1
  • 150
    • 84966246532 scopus 로고
    • On an algorithm for finding a base and strong generating set for a group given by generating permutations
    • Jeffrey S Leon On an algorithm for finding a base and strong generating set for a group given by generating permutations Math Comp 20:941-974 1980
    • (1980) Math Comp , vol.20 , pp. 941-974
    • Leon, J.S.1
  • 151
    • 85057362213 scopus 로고
    • Leon Computing automorphism groups of combinatorial objects In Atkinson Eugene M Luks Isomorphism of graphs of bounded valence can be tested in polynomial time
    • Jeffrey S Leon Computing automorphism groups of combinatorial objects In Atkinson Eugene M Luks Isomorphism of graphs of bounded valence can be tested in polynomial time J Comp Syst ScA 25:42-65 1982
    • (1982) J Comp Syst Sca , vol.25 , pp. 42-65
    • Jeffrey, S.1
  • 152
    • 85065731689 scopus 로고
    • Luks Computing in solvable matrix groups In Proc 33rd IEEE Sympos
    • Eugene M Luks Computing in solvable matrix groups In Proc 33rd IEEE Sympos Foundations Comp ScA pages 111-120 1992
    • (1992) Foundations Comp Sca , pp. 111-120
    • Eugene, M.1
  • 153
    • 85057411347 scopus 로고    scopus 로고
    • Luks Permutation groups and polynomial time computation In Finkelstein and Kantor I G Lysenok Infinite Burnside groups of even period
    • Eugene M Luks Permutation groups and polynomial time computation In Finkelstein and Kantor I G Lysenok Infinite Burnside groups of even period Izv Ross Akad Nauk Ser Mat 60(3):3-224 1996
    • (1996) Izv Ross Akad Nauk Ser Mat , vol.60 , Issue.3 , pp. 3-224
    • Eugene, M.1
  • 154
    • 84971942442 scopus 로고
    • A computer application to finite p groups
    • ID Macdonald A computer application to finite p groups J Austral Math Soc Ser A 17:102-112 1974
    • (1974) J Austral Math Soc Ser A , vol.17 , pp. 102-112
    • Macdonald, I.D.1
  • 155
    • 85057426160 scopus 로고
    • Nilpotent quotient algorithms In Proceedings of Groups St Andrews 1985 volume 121 of London Math
    • Cambridge, Cambridge University Press
    • ID Macdonald Nilpotent quotient algorithms In Proceedings of Groups St Andrews 1985 volume 121 of London Math Soc Lecture Note Ser pages 268-272 Cambridge 1987 Cambridge University Press
    • (1987) Soc Lecture Note Ser , pp. 268-272
    • Macdonald, I.D.1
  • 156
    • 85057400683 scopus 로고    scopus 로고
    • New York Group Theory Cooperative at CCNY http: //wwwgrouptheoryorg/
  • 157
    • 85057398901 scopus 로고    scopus 로고
    • Computational Algebra Group School of Mathematics and Statistics University of Sydney, The Magma Computational Algebra System for Algebra Number Theory and Geometry
    • Computational Algebra Group School of Mathematics and Statistics University of Sydney The Magma Computational Algebra System for Algebra Number Theory and Geometry 2004 (http://magmamathsusydeduau/magma/)
    • (2004)
  • 159
    • 85057365324 scopus 로고
    • The construction of the character table of a finite group from generators and relations In Leech CF Miller III Decision problems for groups survey and reflections
    • G Baumslag and CF Miller III editors Algorithms and Classification in Combinatorial Group Theory volume 23 of MSRI publications pages 1 60
    • John McKay The construction of the character table of a finite group from generators and relations In Leech CF Miller III Decision problems for groups survey and reflections In G Baumslag and CF Miller III editors Algorithms and Classification in Combinatorial Group Theory volume 23 of MSRI publications pages 1 60 Springer Verlag 1992
    • (1992) Springer Verlag
  • 160
    • 0032119334 scopus 로고    scopus 로고
    • An algorithm for solving the factorization problem in permutation groups
    • Torsten Minkwitz An algorithm for solving the factorization problem in permutation groups J Symbolic Comput 26:89-95 1998
    • (1998) J Symbolic Comput , vol.26 , pp. 89-95
  • 161
    • 0343187554 scopus 로고
    • Groups of perfect shuffles
    • S Medvedoff and K Morrison Groups of perfect shuffles Math Mag 60:3-14 1987
    • (1987) Math Mag , vol.60 , pp. 3-14
    • Medvedoff, S.1    Morrison, K.2
  • 162
    • 84971790281 scopus 로고
    • Some remarks on the computation of conjugacy classes of soluble groups
    • M Mecky and J Neübiiser Some remarks on the computation of conjugacy classes of soluble groups Bull Austral Math Soc 40:281-292 1989
    • (1989) Bull Austral Math Soc , vol.40 , pp. 281-292
    • Mecky, M.1    Neübiiser, J.2
  • 163
    • 85057416593 scopus 로고    scopus 로고
    • Completing the Brauer trees for the sporadic simple Lyons group LMS J
    • Jürgen Müller Max Neunhöffer Frank Röhr and Robert Wilson Completing the Brauer trees for the sporadic simple Lyons group LMS J Comput Math 5:18-33 2002
    • (2002) Comput Math , vol.5 , pp. 18-33
  • 164
    • 33646721044 scopus 로고
    • Selecting base points for the Schreier Sims algorithm for matrix groups
    • Scott H Murray and EA O’Brien Selecting base points for the Schreier Sims algorithm for matrix groups J Symbolic Comput 19:577-584 1995
    • (1995) J Symbolic Comput , vol.19 , pp. 577-584
    • Scottmurray, H.1    O’Brien, E.A.2
  • 165
    • 0000357431 scopus 로고
    • Drawing limit sets of Kleinian groups using finite state automata
    • G McShane J Parker and I Redfern Drawing limit sets of Kleinian groups using finite state automata Experimental Math, 3:153-172 1994
    • (1994) Experimental Math , vol.3 , pp. 153-172
    • McShane, G.1    Parker, J.2    Redfern, I.3
  • 166
    • 85057395342 scopus 로고
    • Endliche rationale Matrixgruppen vom Grad 24 volume 12 of Aachener Beitrage zur Mathematik RWTH Aachen
    • Gabrielle Nebe Endliche rationale Matrixgruppen vom Grad 24 volume 12 of Aachener Beitrage zur Mathematik RWTH Aachen 1995
    • (1995)
  • 167
    • 0009041737 scopus 로고
    • Untersuchungen des Untergruppenverbandes endlicher Gruppen auf einer programmgesteuerten elektronis chen Dualmaschine Numer
    • J Neubiiser Untersuchungen des Untergruppenverbandes endlicher Gruppen auf einer programmgesteuerten elektronis chen Dualmaschine Numer Math, 2:280-292 1960
    • (1960) Math , vol.2 , pp. 280-292
    • Neubiiser, J.1
  • 168
    • 0010178258 scopus 로고
    • Bestimmung der Untergruppenverbande endlicher />Gruppen auf einer programmgesteuerten elektronischen Dualmaschine Numer
    • J Neubiiser Bestimmung der Untergruppenverbande endlicher />Gruppen auf einer programmgesteuerten elektronischen Dualmaschine Numer Math 3:271-278 1961
    • (1961) Math , vol.3 , pp. 271-278
    • Neubiiser, J.1
  • 169
    • 0002719944 scopus 로고
    • Investigations of groups on computers In Leech J Neubiiser An elementary introduction to coset table methods in computational group theory In Groups St Andrews 1981 volume 71 of London Math
    • Cambridge, Cambridge University Press
    • J Neubiiser Investigations of groups on computers In Leech J Neubiiser An elementary introduction to coset table methods in computational group theory In Groups St Andrews 1981 volume 71 of London Math Soc Lecture Note Ser pages 1-45 Cambridge 1982 Cambridge University Press
    • (1982) Soc Lecture Note Ser , pp. 1-45
    • Neubiiser, J.1
  • 170
    • 85057402848 scopus 로고
    • Neumann Some algorithms for computing with finite permutation groups In EF Robertson and CM Campbell editors Proceedings of Groups St Andrews 1985 volume 121 of London Math
    • Cambridge, Cambridge University Press
    • Peter M Neumann Some algorithms for computing with finite permutation groups In EF Robertson and CM Campbell editors Proceedings of Groups St Andrews 1985 volume 121 of London Math Soc Lecture Note Ser pages 59-92 Cambridge 1987 Cambridge University Press
    • (1987) Soc Lecture Note Ser , pp. 59-92
    • Peter, M.1
  • 171
    • 85057352419 scopus 로고
    • An invitation to computational group theory I11 CM Campbell TC Hurley EF Robertson SJ Tobin and JJ Ward editors Groups’93 Galway/St Andrews volume 212 of London Math, Cambridge University Press
    • J Neubiiser An invitation to computational group theory I11 CM Campbell TC Hurley EF Robertson SJ Tobin and JJ Ward editors Groups’93 Galway/St Andrews volume 212 of London Math Soc Lecture Note Ser pages 457-475 Cambridge University Press 1995
    • (1995) Soc Lecture Note Ser , pp. 457-475
    • Neubiiser, J.1
  • 173
    • 85033242435 scopus 로고
    • Calculating presentations for certain kinds of quotient groups In SYMSAC ’76 Proc ACM Sympos
    • New York, New York 1976) Association for Computing Machinery
    • MF Newman Calculating presentations for certain kinds of quotient groups In SYMSAC ’76 Proc ACM Sympos Symbolic and Algebraic Computation pages 2-8 New York 1976 (New York 1976) Association for Computing Machinery
    • (1976) Symbolic and Algebraic Computation , pp. 2-8
    • Newman, M.F.1
  • 174
    • 85057357615 scopus 로고
    • Determination of groups of prime power orderIn Group Theory volume 573 of Lecture Notes in Math pages, New York, Canberra 1975) Springer Verlag
    • MF Newman Determination of groups of prime power orderIn Group Theory volume 573 of Lecture Notes in Math pages 73-84 Berlin Heidelberg New York 1977 (Canberra 1975) Springer Verlag
    • (1977) Berlin Heidelberg , pp. 73-84
    • Newman, M.F.1
  • 175
    • 0041926576 scopus 로고
    • Proving a group infinite Arch
    • MF Newman Proving a group infinite Arch Math 54:209-211 1990
    • (1990) Math , vol.54 , pp. 209-211
    • Newman, M.F.1
  • 176
    • 84913149527 scopus 로고
    • Endliche Korper in derri Gruppentheoretischen Programmsystem GAP, RWTH Aachen
    • Werner Nickel Endliche Korper in derri Gruppentheoretischen Programmsystem GAP Diplomarbeit RWTH Aachen 1988
    • (1988) Diplomarbeit
  • 177
    • 85057418380 scopus 로고
    • Central extensions of poly cyclic groups PhD thesis Australian National University Australian National University
    • Werner Nickel Central extensions of poly cyclic groups PhD thesis Australian National University Australian National University 1993
    • (1993)
  • 178
    • 0001108513 scopus 로고
    • Computing nilpotent quotients of finitely presented groups Geometric and Computational
    • G Baumslag et al editors, DIMACS Series pages, (DIMACS 1994)
    • Werner Nickel Computing nilpotent quotients of finitely presented groups In G Baumslag et al editors Geometric and Computational Perspectives on Infinite Groups volume 25 of Amer Math Soc DIMACS Series pages 175-191 (DIMACS 1994) 1995
    • (1995) Perspectives on Infinite Groups , pp. 175-191
  • 179
    • 85057384982 scopus 로고    scopus 로고
    • Constructive recognition of normalisers of small extra special matrix groups To appear in Internat
    • AC Niemeyer Constructive recognition of normalisers of small extra special matrix groups To appear in Internat J Algebra Cornput
    • J Algebra Cornput
    • Niemeyer, A.C.1
  • 181
    • 0032066971 scopus 로고    scopus 로고
    • Werner Nickel and Alice C Niemeyer Descriptions of groups of prime power order
    • MF Newman Werner Nickel and Alice C Niemeyer Descriptions of groups of prime power order J Symbolic Comput 25:665-682 1998
    • (1998) J Symbolic Comput , vol.25 , pp. 665-682
    • Newman, M.F.1
  • 182
    • 0030493123 scopus 로고    scopus 로고
    • Application of computers to questions like those of Burnside II Internat
    • MF Newman and EA O’Brien Application of computers to questions like those of Burnside II Internat J Algebra Comput 6:593-605 1996
    • (1996) J Algebra Comput , vol.6 , pp. 593-605
    • Newman, M.F.1    O’Brien, E.A.2
  • 183
    • 22444455157 scopus 로고    scopus 로고
    • Classifying 2 groups by coclass Trans Amer
    • MF Newman and EA O’Brien Classifying 2 groups by coclass Trans Amer Math Soc 351:131-169 1999
    • (1999) Math Soc , vol.351 , pp. 131-169
    • Newman, M.F.1    O’Brien, E.A.2
  • 184
    • 85057362552 scopus 로고
    • The construction of J4 In Bruce Cooperstein and Geoffrey Mason editors Proc Santa Cruz Conference on Finite Groups pages 271 277
    • Simon Norton The construction of J4 In Bruce Cooperstein and Geoffrey Mason editors Proc Santa Cruz Conference on Finite Groups pages 271 277 Arrier Math Soc 1980
    • (1980) Arrier Math Soc
  • 185
    • 0002996665 scopus 로고
    • On the algorithmic unsolvability of the word problem in group theory Trudy
    • PS Novikov On the algorithmic unsolvability of the word problem in group theory Trudy Math Inst irn Stevlov 44:1-143 1955
    • (1955) Math Inst Irn Stevlov , vol.44 , pp. 1-143
    • Novikov, P.S.1
  • 186
    • 3242667182 scopus 로고    scopus 로고
    • Groups and nilpotent Lie rings whose order is the sixth power of a prime
    • MF Newman EA O’Brien and MR Vaughan Lee Groups and nilpotent Lie rings whose order is the sixth power of a prime J Algebra 278:383-401 2004
    • (2004) J Algebra , vol.278 , pp. 383-401
    • Newman, M.F.1    O’Brien, E.A.2    Vaughan Lee, M.R.3
  • 187
    • 84963046839 scopus 로고
    • Praeger A recognition algorithm for special linear groups Proc
    • Peter M Neumann and Cheryl E Praeger A recognition algorithm for special linear groups Proc London Math Soc (3) 65:555-603 1992
    • (1992) London Math Soc , vol.65 , Issue.3 , pp. 555-603
    • Peterneumann, M.1    Cheryl, E.2
  • 188
    • 0002524971 scopus 로고
    • Finite rational matrix groups Memoirs Arner
    • G Nebe and W Plesken Finite rational matrix groups Memoirs Arner Math Soc 116 No 556 1995
    • (1995) Math Soc , vol.116 , pp. 556
    • Nebe, G.1    Plesken, W.2
  • 189
    • 0001609240 scopus 로고    scopus 로고
    • Praeger A recognition algorithm for classical groups over finite fields Proc
    • Alice C Niemeyer and Cheryl E Praeger A recognition algorithm for classical groups over finite fields Proc London Math Soc 77:117-169 1998
    • (1998) London Math Soc , vol.77 , pp. 117-169
    • Aliceniemeyer, C.1    Cheryl, E.2
  • 190
    • 33646410905 scopus 로고
    • CAS; design and use of a system for the handling of characters of finite groups In Atkinson EA O’Brien The groups of order dividing 256 Bull
    • J Neubiiser H Pahlings and W Plesken CAS; design and use of a system for the handling of characters of finite groups In Atkinson EA O’Brien The groups of order dividing 256 Bull Austral Math Soc 39:159-160 1989
    • (1989) Austral Math Soc , vol.39 , pp. 159-160
    • Neubiiser, J.1    Pahlings, H.2    Plesken, W.3
  • 191
    • 0000219687 scopus 로고
    • The p group generation algorithm
    • EA O’Brien The p group generation algorithm J Symbolic Cornput 9:677-698 1990
    • (1990) J Symbolic Cornput , vol.9 , pp. 677-698
    • O’Brien, E.A.1
  • 192
    • 0001582262 scopus 로고
    • The groups of order 256
    • EA O’Brien The groups of order 256 J Algebra 143(1):219-235 1991
    • (1991) J Algebra , vol.143 , Issue.1 , pp. 219-235
    • O’Brien, E.A.1
  • 193
    • 38149143862 scopus 로고
    • O’Brien Isomorphism testing for p groups
    • EA
    • EA O’Brien Isomorphism testing for p groups J Symbolic Cornput 17:133-147 1994
    • (1994) J Symbolic Cornput , vol.17 , pp. 133-147
  • 194
    • 0001288223 scopus 로고    scopus 로고
    • Crystallographic algorithms and tables Acta
    • J Opgenorth W Plesken and T Schulz Crystallographic algorithms and tables Acta Cryst A54:517-531 1998
    • (1998) Cryst , vol.54 , pp. 517-531
    • Opgenorth, J.1    Plesken, W.2    Schulz, T.3
  • 195
    • 0036694419 scopus 로고    scopus 로고
    • The 2 generator restricted Burnside group of exponent 7 Internat
    • EA O’Brien and MR Vaughan Lee The 2 generator restricted Burnside group of exponent 7 Internat J Algebra Cornput 12:575-592 2002
    • (2002) J Algebra Cornput , vol.12 , pp. 575-592
    • O’Brien, E.A.1    Vaughan Lee, M.R.2
  • 196
    • 85057366027 scopus 로고
    • What do we know about the product replacement algorithm? In Kantor and Seress P Papasoglu Strongly geodesically automatic groups are hyperbolic
    • I Pak What do we know about the product replacement algorithm? In Kantor and Seress P Papasoglu Strongly geodesically automatic groups are hyperbolic Invent Math 121(2):323-334 1995
    • (1995) Invent Math , vol.121 , Issue.2 , pp. 323-334
    • Pak, I.1
  • 197
    • 85057425659 scopus 로고    scopus 로고
    • The computer calculation of modular characters (The Meat Axe)
    • Atkinson D Passman Permutation Groups WA Benjamin New York Amsterdam
    • RA Parker The computer calculation of modular characters (the Meat Axe) In Atkinson D Passman Permutation Groups WA Benjamin New York Amsterdam 1968
    • In Atkinson D Passman Permutation Groups WA , pp. 1968
    • Parker, R.A.1
  • 198
    • 85057381725 scopus 로고
    • Wiley Interscience Series in Discrete Mathematics
    • Introduction to the Theory of Error Correcting Codes
    • Vera Pless Introduction to the Theory of Error Correcting Codes Wiley Interscience Series in Discrete Mathematics John Wiley Sz Sons Inc 1981
    • (1981) John Wiley Sz Sons Inc
  • 199
    • 3242667182 scopus 로고    scopus 로고
    • Groups and nilpotent Lie rings whose order is the sixth power of a prime
    • MF Newman EA O’Brien and MR Vaughan Lee Groups and nilpotent Lie rings whose order is the sixth power of a prime J Algebra 278:383-401 2004
    • (2004) J Algebra , vol.278 , pp. 383-401
    • Newman, M.F.1    O’Brien, E.A.2    Vaughan Lee, M.R.3
  • 200
    • 84963046839 scopus 로고
    • Praeger A recognition algo¬rithm for special linear groups Proa
    • Peter M Neumann and Cheryl E Praeger A recognition algo¬rithm for special linear groups Proa London Math Soc (3) 65:555-603 1992
    • (1992) London Math Soc , vol.65 , Issue.3 , pp. 555-603
    • Peterneumann, M.1    Cheryl, E.2
  • 201
    • 0002524971 scopus 로고
    • Finite rational matrix groups Memöirs Amer
    • G Nebe and W Plesken Finite rational matrix groups Memöirs Amer Math Soc 116 No 556 1995
    • (1995) Math Soc , vol.556 , pp. 116
    • Nebe, G.1    Plesken, W.2
  • 202
    • 0001609240 scopus 로고    scopus 로고
    • Praeger A recognition algo¬rithm for classical groups over finite fields Proc
    • Alice C Niemeyer and Cheryl E Praeger A recognition algo¬rithm for classical groups over finite fields Proc London Math Soc 77:117-169 1998
    • (1998) London Math Soc , vol.77 , pp. 117-169
    • Aliceniemeyer, C.1    Cheryl, E.2
  • 203
    • 85057372655 scopus 로고    scopus 로고
    • CAS; design and use of a system for the handling of characters of finite groups In Atkinson AJE Ryba Condensation of symmetrized tensor powers
    • J Neubiiser H Pahlings and W Plesken CAS; design and use of a system for the handling of characters of finite groups In Atkinson AJE Ryba Condensation of symmetrized tensor powers J Symbolic Comput, 32:273-289 2001
    • (2001) J Symbolic Comput , vol.32 , pp. 273-289
    • Neubiiser, J.1    Pahlings, H.2    Plesken, W.3
  • 204
    • 0009050867 scopus 로고
    • Perfect groups of order less than 104
    • G Sandlobes Perfect groups of order less than 104 Comm Algebra 9:477-490 1981
    • (1981) Comm Algebra , vol.9 , pp. 477-490
    • Sandlobes, G.1
  • 205
    • 85057366842 scopus 로고
    • Schneider Computing with endomorphism rings of modular representations
    • Gerhard JA Schneider Computing with endomorphism rings of modular representations J Symbolic Comput, 9:607-636 1990
    • (1990) J Symbolic Comput , vol.9 , pp. 607-636
    • Gerhard, J.A.1
  • 206
    • 85057381425 scopus 로고
    • Schneider Dixon’s character table algorithm revisited
    • Gerhard JA Schneider Dixon’s character table algorithm revisited J Symbolic Comput, 9:601-606 1990
    • (1990) J Symbolic Comput , vol.9 , pp. 601-606
    • Gerhard, J.A.1
  • 207
    • 85057391316 scopus 로고
    • Group Theory Dover Publications Inc Mineola NY
    • WR Scott Group Theory Dover Publications Inc Mineola NY 1964
    • (1964)
    • Scott, W.R.1
  • 208
    • 0000934895 scopus 로고
    • Representations in characteristic p In Bruce Coop erstein and Geoffrey Mason editors Finite Groups volume 37 of Proc
    • Providence RI 1980, Santa Cruz, Arner Math Soc
    • LL Scott Representations in characteristic p In Bruce Coop erstein and Geoffrey Mason editors Finite Groups volume 37 of Proc Syrnpos Pure Math, pages 319-331 Providence RI 1980 (Santa Cruz 1979) Arner Math Soc
    • (1979) Syrnpos Pure Math , pp. 319-331
    • Scott, L.L.1
  • 209
    • 85057429841 scopus 로고
    • Polycyclic Groups Cambridge University Press Cambridge
    • Daniel Segal Polycyclic Groups Cambridge University Press Cambridge 1983
    • (1983)
  • 210
    • 0000979483 scopus 로고
    • Decidable properties of polycyclic groups
    • Dan Segal Decidable properties of polycyclic groups Proc London Math Soc (3) 61:497-528 1990
    • (1990) Proc London Math Soc , vol.61 , Issue.3 , pp. 497-528
  • 211
    • 0141660669 scopus 로고    scopus 로고
    • An introduction to computational group theory Notices Arner
    • Akos Seress An introduction to computational group theory Notices Arner Math Soc 44:671-679 1997
    • (1997) Math Soc , vol.44 , pp. 671-679
  • 212
    • 85057376590 scopus 로고    scopus 로고
    • Permutation Group Algorithms Cambridge Tracts in Mathematics 152
    • University Press
    • Akos Seress Permutation Group Algorithms Cambridge Tracts in Mathematics 152 Cambridge University Press 2003
    • (2003) Cambridge
  • 213
    • 85057422583 scopus 로고    scopus 로고
    • The Primitive Soluble Permutation Groups of Degree Less than 256 volume 1519 of Lecture Notes in Math
    • Berlin Heidelberg New York
    • MW Short The Primitive Soluble Permutation Groups of Degree Less than 256 volume 1519 of Lecture Notes in Math Springer Verlag Berlin Heidelberg New York 1992
    • Springer Verlag , pp. 1992
    • Short, M.W.1
  • 214
    • 85057403850 scopus 로고
    • Computational and Algorithmic Problems in Finite Fields volume 1519
    • Igor Shparlinski Computational and Algorithmic Problems in Finite Fields volume 1519 Kluwer Academic Publishers 1992
    • (1992) Kluwer Academic Publishers
  • 215
    • 85057374797 scopus 로고
    • Computational methods in the study of permutation groups In Leech Charles C Sims Computation with permutation groups
    • ACM Press
    • Charles C Sims Computational methods in the study of permutation groups In Leech Charles C Sims Computation with permutation groups In Proc Second Syrnp on Symbolic and Algebraic Manipulation ACM Press 1971
    • (1971) Proc Second Syrnp on Symbolic and Algebraic Manipulation
    • Charlessims, C.1
  • 216
    • 0038914094 scopus 로고
    • Sims Determining the conjugacy classes of permutation groups
    • Garret Birkhoff and Marshall Hall Jr editors, Providence RI 1971, New York, Amer Math Soc
    • Charles C Sims Determining the conjugacy classes of permutation groups In Garret Birkhoff and Marshall Hall Jr editors Computers in Algebra and Number Theory volume 4 of Proc Amer Math Soc pages 191-195 Providence RI 1971 (New York 1970) Amer Math Soc
    • (1970) Computers in Algebra and Number Theory , pp. 191-195
    • Charles, C.1
  • 217
    • 85057419040 scopus 로고
    • Sims The existence and uniqueness of Lyons’ group
    • T Hagen MP Hale and EE, Groups 72 pages, North Holland
    • Charles C Sims The existence and uniqueness of Lyons’ group In T Hagen MP Hale and EE Shult editors Finite Groups 72 pages 138-141 North Holland 1973
    • (1973) Shult Editors Finite , pp. 138-141
    • Charles, C.1
  • 219
    • 85057381433 scopus 로고
    • Sims How to construct a baby monster
    • MJ Collins editor Finite Simple Groups II pages, Durham, Academic Press 1980
    • Charles C Sims How to construct a baby monster In MJ Collins editor Finite Simple Groups II pages 339-345 (Durham 1978) Academic Press 1980
    • (1978) In MJ Collins editor Finite , pp. 339-345
    • Charles, C.1
  • 220
    • 85057397492 scopus 로고
    • Sims Verifying nilpotence
    • Charles C Sims Verifying nilpotence J Symbolic Compute 3:231-247 1987
    • (1987) J Symbolic Compute , vol.3 , pp. 231-247
    • Charles, C.1
  • 221
    • 84968511517 scopus 로고
    • Sims Computing the order of a solvable permutation group
    • Charles C
    • Charles C Sims Computing the order of a solvable permutation group J Symbolic Cornput 9:699-705 1990
    • (1990) J Symbolic Cornput , vol.9 , pp. 699-705
  • 222
    • 0010193154 scopus 로고
    • Sims Implementing the Baumslag Cannonito Miller polycyclic quotient algorithm
    • Charles C Sims Implementing the Baumslag Cannonito Miller polycyclic quotient algorithm J Symbolic Cornput 9:707-723 1990
    • (1990) J Symbolic Cornput , vol.9 , pp. 707-723
    • Charles, C.1
  • 223
    • 0003606505 scopus 로고
    • Sims Computation with Finitely Presented Groups
    • Cambridge University Press
    • Charles C Sims Computation with Finitely Presented Groups Cambridge University Press 1994
    • (1994) Sims Computation with Finitely
    • Charles, C.1
  • 224
    • 85057367978 scopus 로고    scopus 로고
    • Sims Computational group theory In Computer Algebra Handbook
    • Springer Verlag
    • Charles C Sims Computational group theory In Computer Algebra Handbook: Foundations Applications Systems pages 65-83 Springer Verlag 2003
    • (2003) Foundations Applications Systems , pp. 65-83
    • Charles, C.1
  • 226
    • 0000112237 scopus 로고
    • Computing Galois groups over the rationals
    • LH Soicher and J McKay Computing Galois groups over the rationals J Number Theory 20:273-281 1985
    • (1985) J Number Theory , vol.20 , pp. 273-281
    • Soicher, L.H.1    McKay, J.2
  • 227
    • 85057354118 scopus 로고
    • Smith Computing automorphisms of finite soluble groups, PhD thesis Australian National University
    • Michael J Smith Computing automorphisms of finite soluble groups PhD thesis Australian National University 1994
    • (1994)
    • Michael, J.1
  • 229
  • 231
    • 0043139071 scopus 로고    scopus 로고
    • Computing Hermite and Smith normal forms of triangular integer matrices
    • Arne Storjohann
    • Arne Storjohann Computing Hermite and Smith normal forms of triangular integer matrices Linear Algebra Appl 282:25 45 1998
    • (1998) Linear Algebra Appl , vol.25 , Issue.45 , pp. 282
  • 232
    • 85057407983 scopus 로고    scopus 로고
    • Discrete logarithms: The effectiveness of the index calculus method In Algorithmic Number Theory ANTS II volume 1122 of Lecture Notes
    • Berlin, Springer
    • O Schirokauer D Weber and Th F Denny Discrete logarithms: the effectiveness of the index calculus method In Algorithmic Number Theory ANTS II volume 1122 of Lecture Notes in Cornput Sci pages 337-361 Berlin 1996 Springer
    • (1996) Cornput Sci , pp. 337-361
    • Schirokauer, O.1    Weber, D.2    Denny, T.H.3
  • 233
    • 0001724079 scopus 로고
    • Theorernes sur les groupes de substitutions
    • L Sylow Theorernes sur les groupes de substitutions Math Ann 5:584-594 1872
    • (1872) Math Ann , vol.5 , pp. 584-594
    • Sylow, L.1
  • 234
    • 84959641339 scopus 로고
    • A practical method for enumerating cosets of a finite abstract group Proc
    • JA Todd and HSM Coxeter A practical method for enumerating cosets of a finite abstract group Proc Edinburgh Math Soc 5:26-34 1936
    • (1936) Edinburgh Math Soc , vol.5 , pp. 26-34
    • Todd, J.A.1    Coxeter, H.S.2
  • 235
    • 85057362901 scopus 로고    scopus 로고
    • Eine Methode zur Normalisatorberechnung in Permutationsgruppen mit Anwendungen in der Konstruktion primitiver Gruppen PhD thesis RWTH Aachen
    • Heiko Theifien Eine Methode zur Normalisatorberechnung in Permutationsgruppen mit Anwendungen in der Konstruktion primitiver Gruppen PhD thesis RWTH Aachen 1997
    • (1997)
  • 236
    • 34347193785 scopus 로고
    • Uber die topologischen Invarianten mehrdimension alen Mannigfaltigkeiten Monatsh f
    • H Tietze Uber die topologischen Invarianten mehrdimension alen Mannigfaltigkeiten Monatsh f Math u Physik 19:1-118 1908
    • (1908) Math U Physik , vol.19 , pp. 1-118
    • Tietze, H.1
  • 237
    • 84966212752 scopus 로고
    • A machine program for coset enumeration Canad
    • HF Trotter A machine program for coset enumeration Canad Math Bull 7:357-368 1964
    • (1964) Math Bull , vol.7 , pp. 357-368
    • Trotter, H.F.1
  • 238
    • 85057421946 scopus 로고    scopus 로고
    • Computing the solvable radical of a permutation group
    • WR Unger Computing the solvable radical of a permutation group In preparation 2002
    • (2002) Preparation
    • Unger, W.R.1
  • 239
    • 85057393780 scopus 로고
    • An aspect of the nilpotent quotient algorithm In Atkinson JW Wamsley Computing soluble groups
    • n A Dold and BEckmann editors Group Theory volume, Berlin Heidelberg New York 1977, Canberra, Springer Verlag
    • MR Vaughan Lee An aspect of the nilpotent quotient algorithm In Atkinson JW Wamsley Computing soluble groups In A Dold and BEckmann editors Group Theory volume 573 Lecture Notesin Math pages 118-125 Berlin Heidelberg New York 1977 (Canberra 1975) Springer Verlag
    • (1975) Lecture Notesin Math , vol.573 , pp. 118-125
    • Vaughan Lee, M.R.1
  • 240
    • 85057360326 scopus 로고
    • A note on the Todd Coxeter algorithm In RABryce J Cossey and MF Newman editors Group Theory volume 573 of Lecture Notes
    • Berlin, Springer
    • JN Ward A note on the Todd Coxeter algorithm In RABryce J Cossey and MF Newman editors Group Theory volume 573 of Lecture Notes in Mathematics pages 126-129 Berlin 1974 Springer
    • (1974) Mathematics , pp. 126-129
    • Ward, J.N.1
  • 241
    • 85057356712 scopus 로고
    • Finite Permutation Groups Academic Press New York
    • Helmut Wielandt Finite Permutation Groups Academic Press New York 1964
    • (1964)
  • 242
    • 0030242262 scopus 로고    scopus 로고
    • Wilson Standard generators for sporadic simple groups
    • Robert A Wilson Standard generators for sporadic simple groups J Algebra 184:505-515 1996
    • (1996) J Algebra , pp. 184-515
    • Robert, A.1
  • 243
    • 38249007042 scopus 로고
    • Isomorphisms of modular group algebras: An algorithm and its application to groups of order 26
    • Martin Wursthorn Isomorphisms of modular group algebras: an algorithm and its application to groups of order 26 J Symbolic Comput 15:211-227 1993
    • (1993) J Symbolic Comput , vol.15 , pp. 211-227
  • 244
    • 51249193629 scopus 로고
    • Uber einen Algorithmus zur Bestimmung der Raumgruppen Comment
    • H Zassenhaus Uber einen Algorithmus zur Bestimmung der Raumgruppen Comment Math Helv 21:117-141 1948
    • (1948) Math Helv , vol.21 , pp. 117-141
    • Zassenhaus, H.1
  • 245
    • 0000023688 scopus 로고
    • Solution of the restricted Burnside problem for 2 groups (Russian)
    • EI Zel’manov Solution of the restricted Burnside problem for 2 groups (Russian) Math Sb 182:568-592 1991
    • (1991) Math Sb , vol.182 , pp. 568-592
    • Zel’Manov, E.I.1
  • 246
    • 84957165468 scopus 로고
    • Solution of the restricted Burnside problem for groups of odd exponent
    • EI Zel’manov Solution of the restricted Burnside problem for groups of odd exponent Math USSR Izv 36:41-60 1991.
    • (1991) Math USSR Izv , vol.36 , pp. 41-60
    • Zel’Manov, E.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.