메뉴 건너뛰기




Volumn 53, Issue 2, 1996, Pages 243-255

The minimal base size of primitive solvable permutation groups

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0001013466     PISSN: 00246107     EISSN: None     Source Type: Journal    
DOI: 10.1112/jlms/53.2.243     Document Type: Article
Times cited : (81)

References (21)
  • 1
    • 85031750701 scopus 로고
    • Nearly linear time algorithms for permutation groups with a small base
    • Bonn
    • L. BABAI, G. COOPERMAN, L. FINKELSTEIN and Á. SERESS, 'Nearly linear time algorithms for permutation groups with a small base', Proc. ISSAC '91, Bonn (1991) 200-209.
    • (1991) Proc. ISSAC '91 , pp. 200-209
    • Babai, L.1    Cooperman, G.2    Finkelstein, L.3    Seress, Á.4
  • 2
    • 0010950335 scopus 로고
    • Computing blocks of imprimitivity for small-base groups in nearly linear time
    • Groups and computation, ed. L. Finkelstein and W. Kantor, Amer. Math. Soc., Providence, RI
    • R. BEALS, 'Computing blocks of imprimitivity for small-base groups in nearly linear time', Groups and computation, DIMACS Ser. Discrete Math. Theoret. Comp. Sci. 11 (ed. L. Finkelstein and W. Kantor, Amer. Math. Soc., Providence, RI, 1993) 17-26.
    • (1993) DIMACS Ser. Discrete Math. Theoret. Comp. Sci. , vol.11 , pp. 17-26
    • Beals, R.1
  • 3
    • 0026972894 scopus 로고
    • Structure forest and composition factors for small base groups in nearly linear time
    • R. BEALS and Á. SERESS, 'Structure forest and composition factors for small base groups in nearly linear time', Proc. 24th ACM STOC (1992) 116-125.
    • (1992) Proc. 24th ACM STOC , pp. 116-125
    • Beals, R.1    Seress, Á.2
  • 4
    • 38249011759 scopus 로고
    • Minimum bases for permutation groups: The greedy approximation
    • K. BLAHA, 'Minimum bases for permutation groups: the greedy approximation', J. Algorithms 13 (1992) 297-306.
    • (1992) J. Algorithms , vol.13 , pp. 297-306
    • Blaha, K.1
  • 5
    • 84972556767 scopus 로고
    • Large character degrees of groups of odd order
    • A. ESPUELAS, 'Large character degrees of groups of odd order', Illinois J. Math. 35 (1991) 499-505.
    • (1991) Illinois J. Math. , vol.35 , pp. 499-505
    • Espuelas, A.1
  • 6
    • 0002127221 scopus 로고
    • Trivial set-stabilizers in finite permutation groups
    • D. GLUCK, 'Trivial set-stabilizers in finite permutation groups', Canad. J. Math. 35 (1983) 59-67.
    • (1983) Canad. J. Math. , vol.35 , pp. 59-67
    • Gluck, D.1
  • 7
    • 0041044183 scopus 로고
    • Prime factors of character degrees of solvable groups
    • D. GLUCK and O. MANZ, 'Prime factors of character degrees of solvable groups', Bull. London Math. Soc. 19 (1987) 431-437.
    • (1987) Bull. London Math. Soc. , vol.19 , pp. 431-437
    • Gluck, D.1    Manz, O.2
  • 9
    • 0012735799 scopus 로고
    • On minimal degrees and base sizes of primitive permutation groups
    • M. W. LIEBECK, 'On minimal degrees and base sizes of primitive permutation groups', Arch. Math. 43 (1984) 11-15.
    • (1984) Arch. Math. , vol.43 , pp. 11-15
    • Liebeck, M.W.1
  • 10
    • 85027218440 scopus 로고    scopus 로고
    • Computing the fitting subgroup and solvable radical of small-base permutation groups in nearly linear time
    • Groups and computation II, (ed. L. Finkelstein and W. Kantor, Amer. Math. Soc., Providence, RI), to appear
    • E. LUKS and Á. SERESS, 'Computing the Fitting subgroup and solvable radical of small-base permutation groups in nearly linear time', Groups and computation II, DIMACS Ser. Discrete Math. Theoret. Comp. Sci. (ed. L. Finkelstein and W. Kantor, Amer. Math. Soc., Providence, RI), to appear.
    • DIMACS Ser. Discrete Math. Theoret. Comp. Sci.
    • Luks, E.1    Seress, Á.2
  • 11
    • 0001182118 scopus 로고
    • A polynomial bound for the orders of primitive solvable groups
    • P. P. PÁLFY, 'A polynomial bound for the orders of primitive solvable groups', J. Algebra 77 (1982) 127-137.
    • (1982) J. Algebra , vol.77 , pp. 127-137
    • Pálfy, P.P.1
  • 12
    • 28044459344 scopus 로고
    • Bounds for linear groups of odd order
    • Proc. Second Internat. Group Theory Conf., Bressanone/Brixen
    • P. P. PÁLFY, 'Bounds for linear groups of odd order', Proc. Second Internat. Group Theory Conf., Bressanone/Brixen 1989, Suppl. Rend. Circ. Mat. Palermo 23 (1990) 253-263.
    • (1989) Suppl. Rend. Circ. Mat. Palermo , vol.23 , pp. 253-263
    • Pálfy, P.P.1
  • 13
    • 0000690109 scopus 로고
    • Closures of finite primitive permutation groups
    • C. E. PRAEGER and J. SAXL, 'Closures of finite primitive permutation groups', Bull. London Math. Soc. 24 (1992) 251-258.
    • (1992) Bull. London Math. Soc. , vol.24 , pp. 251-258
    • Praeger, C.E.1    Saxl, J.2
  • 14
    • 0000899215 scopus 로고
    • Asymptotic results for permutation groups
    • Groups and computation, ed. L. Finkelstein and W. Kantor, Amer. Math. Soc., Providence, RI
    • L. PYBER, 'Asymptotic results for permutation groups', Groups and computation, DIMACS Ser. Discrete Math. Theoret. Comp. Sci. 11 (ed. L. Finkelstein and W. Kantor, Amer. Math. Soc., Providence, RI, 1993) 197-219.
    • (1993) DIMACS Ser. Discrete Math. Theoret. Comp. Sci. , vol.11 , pp. 197-219
    • Pyber, L.1
  • 15
    • 0003252961 scopus 로고
    • GAP: Groups, Algorithms, and Programming
    • RWTH Aachen
    • M. SCHÖNERT et al. 'GAP: Groups, Algorithms, and Programming', Lehrstuhl D für Mathematik, RWTH Aachen (1992).
    • (1992) Lehrstuhl D für Mathematik
    • Schönert, M.1
  • 16
    • 11044225897 scopus 로고
    • Finding blocks of imprimitivity in small-base groups in nearly linear time
    • Oxford
    • M. SCHÖNERT and Á. SERESS, 'Finding blocks of imprimitivity in small-base groups in nearly linear time', Proc. ISSAC '94, Oxford (1994) 154-157.
    • (1994) Proc. ISSAC '94 , pp. 154-157
    • Schönert, M.1    Seress, Á.2
  • 17
    • 85086528193 scopus 로고    scopus 로고
    • Nearly linear time algorithms for permutation groups: An interplay between theory and practice
    • to appear
    • Á. SERESS, 'Nearly linear time algorithms for permutation groups: an interplay between theory and practice', Acta Appl. Math., to appear.
    • Acta Appl. Math.
    • Seress, Á.1
  • 19
    • 0009223437 scopus 로고
    • Amer. Math. Soc., Providence, RI
    • D. A. SUPRUNENKO, Matrix groups (Amer. Math. Soc., Providence, RI, 1976).
    • (1976) Matrix Groups
    • Suprunenko, D.A.1
  • 20
    • 0003987172 scopus 로고
    • Permutation groups through invariant relations and invariant functions
    • The Ohio State University
    • H. W. WIELANDT, 'Permutation groups through invariant relations and invariant functions', Lecture Notes, The Ohio State University (1969).
    • (1969) Lecture Notes
    • Wielandt, H.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.