-
1
-
-
84966243723
-
An algorithm for finding the blocks of a permutation group
-
Atk75
-
[Atk75] M. D. Atkinson, An algorithm for finding the blocks of a permutation group, Math. Comp. 29 (1975), 911-913.
-
(1975)
Math. Comp.
, vol.29
, pp. 911-913
-
-
Atkinson, M.D.1
-
2
-
-
85031628985
-
-
Atk84 M. D. Atkinson (Ed.), Proceedings of the London Mathematical Society Symposium on Computational Group Theory, Academic Press, London
-
[Atk84] M. D. Atkinson (Ed.), "Computational Group Theory," Proceedings of the London Mathematical Society Symposium on Computational Group Theory, Academic Press, London, 1984.
-
(1984)
Computational Group Theory
-
-
-
4
-
-
0021980820
-
Trading group theory for randomness
-
Ba85
-
[Ba85] L. Babai, Trading group theory for randomness, in "Proc 17th ACM STOC, Providence, RI, 1985," pp. 421-429.
-
Proc 17th ACM STOC, Providence, RI, 1985
, pp. 421-429
-
-
Babai, L.1
-
5
-
-
0011005010
-
Computational complexity in finite groups
-
Ba91a Springer-Verlag, Hong Kong
-
[Ba91a] L. Babai, Computational complexity in finite groups, in "Proc. International Congress of Mathematics, Kyoto, 1990," pp. 1479-1489, Springer-Verlag, Hong Kong, 1991.
-
(1991)
Proc. International Congress of Mathematics, Kyoto, 1990
, pp. 1479-1489
-
-
Babai, L.1
-
7
-
-
84906731094
-
Multiplicative equations over commuting matrices
-
BBCIL
-
[BBCIL] L. Babai, R. Beals, J.-y. Cai, G. Ivanyos, and E. M. Luks, Multiplicative equations over commuting matrices, in "Proc. 7th ACM-SIAM SODA, 1996," pp. 498-507.
-
Proc. 7th ACM-SIAM SODA, 1996
, pp. 498-507
-
-
Babai, L.1
Beals, R.2
Cai, J.-Y.3
Ivanyos, G.4
Luks, E.M.5
-
8
-
-
85031620045
-
Deciding finiteness of matrix groups in deterministic polynomial time
-
BBR to appear
-
[BBR] L. Babai, R. Beals, and D. Rockmore, Deciding finiteness of matrix groups in deterministic polynomial time, Israel J. Math., to appear.
-
Israel J. Math.
-
-
Babai, L.1
Beals, R.2
Rockmore, D.3
-
9
-
-
0010009887
-
Fast Monte Carlo algorithms for permutation groups
-
BCFLS
-
[BCFLS] L. Babai, G. Cooperman, L. Finkelstein, E. M. Luks, and A. Seress, Fast Monte Carlo algorithms for permutation groups, in "Proc. 23rd ACM STOC, 1991," pp. 90-100.
-
Proc. 23rd ACM STOC, 1991
, pp. 90-100
-
-
Babai, L.1
Cooperman, G.2
Finkelstein, L.3
Luks, E.M.4
Seress, A.5
-
10
-
-
0023548551
-
Permutation groups in NC
-
BLS87
-
[BLS87] L. Babai, E. M. Luks, and Á. Seress, Permutation groups in NC, in "Proc. 19th ACM STOC, 1987," pp. 409-420.
-
Proc. 19th ACM STOC, 1987
, pp. 409-420
-
-
Babai, L.1
Luks, E.M.2
Seress, Á.3
-
11
-
-
0024139950
-
Fast management of permutation groups
-
BLS88
-
[BLS88] L. Babai, E. Luks, and Á. Seress, Fast management of permutation groups, in "Proc. 28th IEEE FOCS, 1988," pp. 272-282 .
-
Proc. 28th IEEE FOCS, 1988
, pp. 272-282
-
-
Babai, L.1
Luks, E.2
Seress, Á.3
-
14
-
-
0026972894
-
Structure forest and composition factors in nearly linear time for small base groups
-
BS
-
[BS] R. Beals and Á. Seress, Structure forest and composition factors in nearly linear time for small base groups, in "Proc. 24th ACM STOC, 1992," pp. 116-125.
-
Proc. 24th ACM STOC, 1992
, pp. 116-125
-
-
Beals, R.1
Seress, Á.2
-
15
-
-
84957656166
-
Everything in NP can be argued in perfect zero-knowledge in a bounded number of rounds
-
BCY Springer-Verlag, Berlin
-
[BCY] G. Brassard, C. Crépeau, and M. Yung, Everything in NP can be argued in perfect zero-knowledge in a bounded number of rounds, in "Proc. of the 16th ICALP, 1989," pp. 123-136, Springer-Verlag, Berlin.
-
Proc. of the 16th ICALP, 1989
, pp. 123-136
-
-
Brassard, G.1
Crépeau, C.2
Yung, M.3
-
16
-
-
84931031941
-
One-Way Group Actions
-
BY Advances in Cryptology: CRYPTO '90 proceedings, 1991,Springer-Verlag,Berlin
-
[BY] G. Brassard, and M. Yung, One-Way Group Actions, in "Advances in Cryptology: CRYPTO '90 proceedings, 1991," Lecture Notes in Computer Science, Vol. 537, pp. 94-107, Springer-Verlag, Berlin.
-
Lecture Notes in Computer Science
, vol.537
, pp. 94-107
-
-
Brassard, G.1
Yung, M.2
-
17
-
-
0003209126
-
Fundamental Algorithms for Permutation Groups
-
Bu Springer-Verlag, Berlin
-
[Bu] G. Butler, "Fundamental Algorithms for Permutation Groups," Lecture Notes in Computer Science, Vol. 559, Springer-Verlag, Berlin, 1991.
-
(1991)
Lecture Notes in Computer Science
, vol.559
-
-
Butler, G.1
-
18
-
-
84936760286
-
The complexity of the membership problem for 2-generated commutative semigroups of rational matrices
-
CLZ
-
[CLZ] J.-y. Cai, R. J. Lipton, and Y. Zalcstein, The complexity of the membership problem for 2-generated commutative semigroups of rational matrices, in "Proc. 35th IEEE FOCS (1994)," pp. 135-142.
-
Proc. 35th IEEE FOCS (1994)
, pp. 135-142
-
-
Cai, J.-Y.1
Lipton, R.J.2
Zalcstein, Y.3
-
19
-
-
0002540854
-
Computational Group Theory
-
Can (M. D. Atkinson, Ed.), Academic Press, London
-
[Can] J. J. Cannon, An Introduction to the Group Theory Language, Cayley, Computational Group Theory, in "Proceedings of the London Mathematical Society Symposium on Computational Group Theory" (M. D. Atkinson, Ed.), pp. 145-184, Academic Press, London, 1984.
-
(1984)
Proceedings of the London Mathematical Society Symposium on Computational Group Theory
, pp. 145-184
-
-
Cannon, J.J.1
-
20
-
-
85034444003
-
Polynomial-time algorithms for permutation groups
-
FHL
-
[FHL] M. L. Furst, J. Hopcroft, and E. M. Luks, Polynomial-time algorithms for permutation groups, in "21st IEEE FOCS, 1980," pp. 36-41.
-
21st IEEE FOCS, 1980
, pp. 36-41
-
-
Furst, M.L.1
Hopcroft, J.2
Luks, E.M.3
-
21
-
-
0021973388
-
Polynomial time solutions of some problems in abstract algebra
-
FR
-
[FR] K. Friedl and L. Rónyai, Polynomial time solutions of some problems in abstract algebra, in "Proc. 17th ACM STOC (1985)," pp. 153-162.
-
Proc. 17th ACM STOC (1985)
, pp. 153-162
-
-
Friedl, K.1
Rónyai, L.2
-
22
-
-
0003538307
-
-
Ga Chelsea Publishing, New York
-
[Ga] F. R. Gantmacher, "Matrix Theory," Chelsea Publishing, New York, 1959.
-
(1959)
Matrix Theory
-
-
Gantmacher, F.R.1
-
24
-
-
0027886529
-
Testing equalities of multiplicative representations in polynomial time
-
Ge93b
-
[Ge93b] G. Ge, Testing equalities of multiplicative representations in polynomial time, in "Proc. 34th IEEE FOCS (1993)," pp. 422-426.
-
Proc. 34th IEEE FOCS (1993)
, pp. 422-426
-
-
Ge, G.1
-
26
-
-
0030587312
-
Computing matrix group decompositions with respect to a normal subgroup
-
H+96a
-
[H+96a] D. F. Holt, C. R. Leedham-Green, E. A. O'Brien, and S. Rees, Computing matrix group decompositions with respect to a normal subgroup, J. Algebra 184 (1996), 818.
-
(1996)
J. Algebra
, vol.184
, pp. 818
-
-
Holt, D.F.1
Leedham-Green, C.R.2
O'Brien, E.A.3
Rees, S.4
-
27
-
-
0030587311
-
Testing matrix groups for primitivity
-
H+96b
-
[H+96b] D. F. Holt, C. R. Leedham-Green, E. A. O'Brien, and S. Rees, Testing matrix groups for primitivity, J. Algebra 184 (1996), 795.
-
(1996)
J. Algebra
, vol.184
, pp. 795
-
-
Holt, D.F.1
Leedham-Green, C.R.2
O'Brien, E.A.3
Rees, S.4
-
28
-
-
0011558803
-
Linear auflösbare Gruppen
-
Hu
-
[Hu] B. Huppert, Linear auflösbare Gruppen, Math. Z. 67 (1957), 479-518.
-
(1957)
Math. Z.
, vol.67
, pp. 479-518
-
-
Huppert, B.1
-
29
-
-
85028775577
-
Direct minimum-knowledge computations
-
IY Advances in Cryptology: CRYPTO '87 Proceedings," Springer-Verlag, Berlin
-
[IY] R. Impagliazzo and M. Yung, Direct minimum-knowledge computations, in "Advances in Cryptology: CRYPTO '87 Proceedings," Lecture Notes in Computer Science, Vol. 293, pp. 40-51, Springer-Verlag, Berlin, 1988.
-
(1988)
Lecture Notes in Computer Science
, vol.293
, pp. 40-51
-
-
Impagliazzo, R.1
Yung, M.2
-
30
-
-
0022793656
-
Polynomial-time algorithms for the orbit problem
-
KLi
-
[KLi] R. Kannan and R. Lipton, Polynomial-time algorithms for the orbit problem, J. Assoc. Comput. Mach. 33, No. 4 (1986), 808-821.
-
(1986)
J. Assoc. Comput. Mach.
, vol.33
, Issue.4
, pp. 808-821
-
-
Kannan, R.1
Lipton, R.2
-
32
-
-
0344056476
-
Complexity of the word and isomorphism problems for finite groups
-
LSZ John Hopkins University
-
[LSZ] R. Lipton, L. Snyder, and Y. Zalcstein, Complexity of the word and isomorphism problems for finite groups, in "Proc. Conf. Info. Sciences and Systems, 1976," John Hopkins University, pp. 33-35.
-
Proc. Conf. Info. Sciences and Systems, 1976
, pp. 33-35
-
-
Lipton, R.1
Snyder, L.2
Zalcstein, Y.3
-
33
-
-
84976851566
-
Word problems solvable in logspace
-
LZ
-
[LZ] R. Lipton and Y. Zalcstein, Word problems solvable in logspace, J. Assoc. Comput. Mach. 24 (1977), 522-526.
-
(1977)
J. Assoc. Comput. Mach.
, vol.24
, pp. 522-526
-
-
Lipton, R.1
Zalcstein, Y.2
-
34
-
-
0020166327
-
Isomorphism of graphs of bounded valence can be tested in polynomial time
-
Lu82
-
[Lu82] E. M. Luks, Isomorphism of graphs of bounded valence can be tested in polynomial time, J. Comput. System Sci. 25 (1982), 42-65.
-
(1982)
J. Comput. System Sci.
, vol.25
, pp. 42-65
-
-
Luks, E.M.1
-
35
-
-
51249171366
-
Computing the composition factors of a permutation group in polynomial time
-
Lu87
-
[Lu87] E. M. Luks, Computing the composition factors of a permutation group in polynomial time, Combinatorica 7 (1987), 87-99.
-
(1987)
Combinatorica
, vol.7
, pp. 87-99
-
-
Luks, E.M.1
-
36
-
-
85065731689
-
Computing in solvable groups
-
Lu92
-
[Lu92] E. M. Luks, Computing in solvable groups, in "Proc. 33rd IEEE FOCS, 1992," pp. 111-120.
-
Proc. 33rd IEEE FOCS, 1992
, pp. 111-120
-
-
Luks, E.M.1
-
37
-
-
0001057196
-
Permutation groups and polynomial-time computation
-
Lu93 DIMACS Series in Discrete Mathematics and Theoretical Computer Science, Amer. Math. Soc., Providence, RI
-
[Lu93] E. M. Luks, Permutation groups and polynomial-time computation, in "Groups and Computation," pp. 139-175, DIMACS Series in Discrete Mathematics and Theoretical Computer Science, Vol. 11, Amer. Math. Soc., Providence, RI, 1993.
-
(1993)
Groups and Computation
, vol.11
, pp. 139-175
-
-
Luks, E.M.1
-
39
-
-
85031617132
-
Properties of Cryptosystem PGM, Advances in Cryptology-CRYPTO '89,"
-
MM89 Springer-Verlag, Berlin
-
[MM89] S. Magliveras and N. Memon, Properties of Cryptosystem PGM, in "Advances in Cryptology-CRYPTO '89," Lecture Notes in Computer Science, Vol. 435, Springer-Verlag, Berlin, 1989, 447-460.
-
(1989)
Lecture Notes in Computer Science
, vol.435
, pp. 447-460
-
-
Magliveras, S.1
Memon, N.2
-
40
-
-
0026987219
-
Algebraic properties of cryptosystem PGM
-
MM92
-
[MM92] S. Magliveras and N. Memon, Algebraic properties of cryptosystem PGM, J. Cryptology 5 (1992), 167-183.
-
(1992)
J. Cryptology
, vol.5
, pp. 167-183
-
-
Magliveras, S.1
Memon, N.2
-
41
-
-
0009374607
-
The occurrence problem for a direct product of groups
-
Mih in Russian
-
[Mih] K. A. Mihaǐlova, The occurrence problem for a direct product of groups, Dokl. Akad. Nauk 119 (1958), 1103-1105. [in Russian]
-
(1958)
Dokl. Akad. Nauk
, vol.119
, pp. 1103-1105
-
-
Mihaǐlova, K.A.1
-
42
-
-
84972528675
-
Growth of finitely generated solvable groups
-
Mil
-
[Mil] J. Milnor, Growth of finitely generated solvable groups, J. Differential Geometry 2 (1968), 447-449.
-
(1968)
J. Differential Geometry
, vol.2
, pp. 447-449
-
-
Milnor, J.1
-
43
-
-
84963046839
-
A recognition algorithm for the special linear groups
-
NP
-
[NP] P. M. Neumann and Cheryl E. Praeger, A recognition algorithm for the special linear groups, Proc. London Math. Soc. 65 (1992), 555-603.
-
(1992)
Proc. London Math. Soc.
, vol.65
, pp. 555-603
-
-
Neumann, P.M.1
Praeger, C.E.2
-
44
-
-
0003760677
-
-
New Academic Press, New York
-
[New] M. Newman, "Integral Matrices," Pure and Applied Mathematics, Vol. 45, Academic Press, New York, 1972.
-
(1972)
Integral Matrices,Pure and Applied Mathematics
, vol.45
-
-
Newman, M.1
-
45
-
-
85031635672
-
-
Os Ph.D. thesis, Mathematics Dept., Rutgers University
-
[Os] G. Ostheimer, Ph.D. thesis, Mathematics Dept., Rutgers University, 1996.
-
(1996)
-
-
Ostheimer, G.1
-
46
-
-
0003591467
-
-
Sch+ Lehrstuhl D für Mathematik, Rheinisch Westfälische Technische Hochschule, Aachen, Germany
-
[Sch+] M. Schönert et al., "GAP - Groups, Algorithms, and Programming," Lehrstuhl D für Mathematik, Rheinisch Westfälische Technische Hochschule, Aachen, Germany, 1992.
-
(1992)
"GAP - Groups, Algorithms, and Programming
-
-
Schönert, M.1
-
48
-
-
84949270483
-
Computation with permutation groups
-
Si1 (S. R. Petrick, Ed.), ACM, New York
-
[Si1] C. C. Sims, Computation with permutation groups, in "Proc. Second Symposium on Symbolic and Algebraic Manipulation" (S. R. Petrick, Ed.), pp. 23-28, ACM, New York, 1971.
-
(1971)
Proc. Second Symposium on Symbolic and Algebraic Manipulation
, pp. 23-28
-
-
Sims, C.C.1
-
50
-
-
85031635632
-
-
Su63 Amer. Math. Soc., Rhode Island
-
[Su63] D. Suprunenko, "Soluble and Nilpotent Linear Graphs," Transl. Math. Monographs, Vol. 9, Amer. Math. Soc., Rhode Island, 1963.
-
(1963)
Soluble and Nilpotent Linear Graphs, Transl. Math. Monographs
, vol.9
-
-
Suprunenko, D.1
-
51
-
-
85031628275
-
-
Su76 Amer. Math. Soc., Rhode Island
-
[Su76] D. Suprunenko, "Matrix Groups," Transi, of Math. Monographs, Vol. 45, Amer. Math. Soc., Rhode Island, 1976.
-
(1976)
Matrix Groups, Transi, of Math. Monographs
, vol.45
-
-
Suprunenko, D.1
-
52
-
-
0000644892
-
Free subgroups in linear groups
-
Ti
-
[Ti] J. Tits, Free subgroups in linear groups, J. Algebra 20 (1972), 250-270.
-
(1972)
J. Algebra
, vol.20
, pp. 250-270
-
-
Tits, J.1
-
53
-
-
0003857021
-
-
We Springer-Verlag, Berlin
-
[We] B. A. F. Wehrfritz, "Infinite Linear Groups," Ergeb. Math. Grenzgeb., Vol. 76, Springer-Verlag, Berlin, 1973.
-
(1973)
Infinite Linear Groups, Ergeb. Math. Grenzgeb.
, vol.76
-
-
Wehrfritz, B.A.F.1
-
54
-
-
84972500169
-
Growth of finitely generated solvable groups and curvature of Riemannian manifolds
-
Wo
-
[Wo] J. A. Wolf, Growth of finitely generated solvable groups and curvature of Riemannian manifolds, J. Differential Geometry 2 (1968), 421-446.
-
(1968)
J. Differential Geometry
, vol.2
, pp. 421-446
-
-
Wolf, J.A.1
-
55
-
-
84951612005
-
Beweis eines Satzes über diskrete Gruppen
-
Za
-
[Za] H. Zassenhaus, Beweis eines Satzes über diskrete Gruppen, Abh. Math. Sem. Univ. Hamburg 12 (1938), 289-312.
-
(1938)
Abh. Math. Sem. Univ. Hamburg
, vol.12
, pp. 289-312
-
-
Zassenhaus, H.1
|