메뉴 건너뛰기




Volumn 188, Issue 1, 1997, Pages 103-124

Asymptotic Results for Primitive Permutation Groups

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0001261850     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1996.6818     Document Type: Article
Times cited : (18)

References (50)
  • 2
    • 0011535930 scopus 로고
    • Solvable generation of groups and Sylow subgroups of the lower central series
    • Aschbacher M., Guralnick R. M. Solvable generation of groups and Sylow subgroups of the lower central series. J. Algebra. 77:1982;189-201.
    • (1982) J. Algebra , vol.77 , pp. 189-201
    • Aschbacher, M.1    Guralnick, R.M.2
  • 4
    • 0000438362 scopus 로고
    • On the orders of uniprimitive permutation groups
    • Babai L. On the orders of uniprimitive permutation groups. Ann. of Math. (2). 113:1981;553-568.
    • (1981) Ann. of Math. (2) , vol.113 , pp. 553-568
    • Babai, L.1
  • 5
    • 0012704899 scopus 로고
    • On the order of doubly transitive permutation groups
    • Babai L. On the order of doubly transitive permutation groups. Invent. Math. 65:1982;473-484.
    • (1982) Invent. Math. , vol.65 , pp. 473-484
    • Babai, L.1
  • 6
    • 0001527133 scopus 로고
    • The probability of generating the symmetric group
    • Babai L. The probability of generating the symmetric group. J. Combin. Theory Ser. A. 52:1989;148-153.
    • (1989) J. Combin. Theory Ser. a , vol.52 , pp. 148-153
    • Babai, L.1
  • 8
    • 0001667058 scopus 로고
    • On the orders of primitive groups with restricted nonabelian composition factors
    • Babai L., Cameron P. J., Pálfy P. P. On the orders of primitive groups with restricted nonabelian composition factors. J. Algebra. 79:1982;161-168.
    • (1982) J. Algebra , vol.79 , pp. 161-168
    • Babai, L.1    Cameron, P.J.2    Pálfy, P.P.3
  • 10
    • 51249165247 scopus 로고
    • The probability of generating certain profinite groups by two elements
    • Bhattacharjee M. The probability of generating certain profinite groups by two elements. Israel J. Math. 86:1994;311-320.
    • (1994) Israel J. Math. , vol.86 , pp. 311-320
    • Bhattacharjee, M.1
  • 11
    • 0039587040 scopus 로고
    • Ueber die Classe der Transitiven Substitutionengruppen
    • Bochert A. Ueber die Classe der Transitiven Substitutionengruppen. Math. Ann. 40:1892;176-193.
    • (1892) Math. Ann. , vol.40 , pp. 176-193
    • Bochert, A.1
  • 12
    • 21444458682 scopus 로고    scopus 로고
    • Maximal subgroups of finite and profinite groups
    • Borovik A., Pyber L., Shalev A. Maximal subgroups of finite and profinite groups. Trans. Amer. Math. Soc. 348:1996;3745-3761.
    • (1996) Trans. Amer. Math. Soc. , vol.348 , pp. 3745-3761
    • Borovik, A.1    Pyber, L.2    Shalev, A.3
  • 14
    • 0002097593 scopus 로고
    • Finite permutation groups and finite simple groups
    • Cameron C. R. Finite permutation groups and finite simple groups. Bull. London Math. Soc. 13:1981;1-22.
    • (1981) Bull. London Math. Soc. , vol.13 , pp. 1-22
    • Cameron, C.R.1
  • 15
    • 0001384712 scopus 로고
    • The Fitting subgroup of a linear solvable group
    • Dixon J. D. The Fitting subgroup of a linear solvable group. J. Austral. Math. Soc. 7:1967;417-424.
    • (1967) J. Austral. Math. Soc. , vol.7 , pp. 417-424
    • Dixon, J.D.1
  • 16
  • 17
    • 0001278336 scopus 로고
    • Generation of simple groups
    • Guralnick R. M. Generation of simple groups. J. Algebra. 103:1986;381-401.
    • (1986) J. Algebra , vol.103 , pp. 381-401
    • Guralnick, R.M.1
  • 19
    • 77955478020 scopus 로고
    • The Eulerian function of a group
    • Hall P. The Eulerian function of a group. Quart. J. Math. 7:1936;134-151.
    • (1936) Quart. J. Math. , vol.7 , pp. 134-151
    • Hall, P.1
  • 20
    • 0004569294 scopus 로고
    • Group Theoretic Algorithms and Graph Isomorphism
    • Berlin: Springer-Verlag
    • Hoffman C. M. Group Theoretic Algorithms and Graph Isomorphism. Lect. Notes in Comp. Sci. 136:1982;Springer-Verlag, Berlin.
    • (1982) Lect. Notes in Comp. Sci. , vol.136
    • Hoffman, C.M.1
  • 21
    • 0001941330 scopus 로고
    • The probability of generating a classical group
    • Kantor W. M., Lubotzky A. The probability of generating a classical group. Geom. Dedicata. 36:1990;67-87.
    • (1990) Geom. Dedicata , vol.36 , pp. 67-87
    • Kantor, W.M.1    Lubotzky, A.2
  • 22
  • 23
    • 84968481829 scopus 로고
    • Generating finite completely reducible linear groups
    • Kovács L. G., Robinson G. R. Generating finite completely reducible linear groups. Proc. Amer. Math. Soc. 112:1991;357-364.
    • (1991) Proc. Amer. Math. Soc. , vol.112 , pp. 357-364
    • Kovács, L.G.1    Robinson, G.R.2
  • 24
    • 84960560018 scopus 로고
    • On finitely generated solvable groups with no large wreath product sections
    • Kropholler P. H. On finitely generated solvable groups with no large wreath product sections. Proc. London Math. Soc. (3). 49:1984;155-169.
    • (1984) Proc. London Math. Soc. (3) , vol.49 , pp. 155-169
    • Kropholler, P.H.1
  • 25
    • 0001507307 scopus 로고
    • On the O'Nan-Scott theorem for finite primitive permutation groups
    • Liebeck M. W., Praeger C. E., Saxl J. On the O'Nan-Scott theorem for finite primitive permutation groups. J. Austral. Math. Soc. Ser. A. 44:1988;389-396.
    • (1988) J. Austral. Math. Soc. Ser. a , vol.44 , pp. 389-396
    • Liebeck, M.W.1    Praeger, C.E.2    Saxl, J.3
  • 27
    • 0030505005 scopus 로고    scopus 로고
    • Classical groups, probabilistic methods, and the (2, 3)-generation problem
    • Liebeck M. W., Shalev A. Classical groups, probabilistic methods, and the (2, 3)-generation problem. Ann. of Math. (2). 144:1996;77-125.
    • (1996) Ann. of Math. (2) , vol.144 , pp. 77-125
    • Liebeck, M.W.1    Shalev, A.2
  • 28
    • 0030586644 scopus 로고    scopus 로고
    • Simple groups, maximal subgroups, and a conjecture of Kantor and Lubotzky
    • Liebeck M. W., Shalev A. Simple groups, maximal subgroups, and a conjecture of Kantor and Lubotzky. J. Algebra. 184:1996;31-57.
    • (1996) J. Algebra , vol.184 , pp. 31-57
    • Liebeck, M.W.1    Shalev, A.2
  • 30
    • 0000762915 scopus 로고
    • Subgroup growth and congruence subgroups
    • Lubotzky A. Subgroup growth and congruence subgroups. Invent. Math. 119:1995;267-295.
    • (1995) Invent. Math. , vol.119 , pp. 267-295
    • Lubotzky, A.1
  • 33
    • 0040062210 scopus 로고    scopus 로고
    • Positively finitely generated groups
    • Mann A. Positively finitely generated groups. Forum Math. 8:1996;429-459.
    • (1996) Forum Math. , vol.8 , pp. 429-459
    • Mann, A.1
  • 34
    • 0000514291 scopus 로고
    • Uniform finiteness conditions in residually finite groups
    • Mann A., Segal D. Uniform finiteness conditions in residually finite groups. Proc. London Math. Soc. (3). 61:1990;529-545.
    • (1990) Proc. London Math. Soc. (3) , vol.61 , pp. 529-545
    • Mann, A.1    Segal, D.2
  • 35
    • 0012670499 scopus 로고    scopus 로고
    • Simple groups, maximal subgroups, and probabilistic aspects of profinite groups
    • A. Mann, A. Shalev, Simple groups, maximal subgroups, and probabilistic aspects of profinite groups, Israel J. Math.
    • Israel J. Math.
    • Mann, A.1    Shalev, A.2
  • 36
    • 0002885031 scopus 로고
    • The soluble length of soluble linear groups
    • Newman M. F. The soluble length of soluble linear groups. Math. Z. 126:1972;59-70.
    • (1972) Math. Z. , vol.126 , pp. 59-70
    • Newman, M.F.1
  • 37
    • 0001182118 scopus 로고
    • A polynomial bound for the orders of primitive solvable groups
    • Pálfy P. P. 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
  • 38
    • 0001304962 scopus 로고
    • On the orders of primitive permutation groups
    • Praeger C. E., Saxl J. On the orders of primitive permutation groups. Bull. London Math. Soc. 12:1980;303-307.
    • (1980) Bull. London Math. Soc. , vol.12 , pp. 303-307
    • Praeger, C.E.1    Saxl, J.2
  • 39
    • 0007122889 scopus 로고
    • Enumerating finite groups of given order
    • Pyber L. Enumerating finite groups of given order. Ann. of Math. (2). 137:1993;203-220.
    • (1993) Ann. of Math. (2) , vol.137 , pp. 203-220
    • Pyber, L.1
  • 41
    • 0012666880 scopus 로고
    • On the orders of doubly transitive permutation groups, elementary estimates
    • Pyber L. On the orders of doubly transitive permutation groups, elementary estimates. J. Combin. Theory Ser. A. 62:1993;361-366.
    • (1993) J. Combin. Theory Ser. a , vol.62 , pp. 361-366
    • Pyber, L.1
  • 45
    • 84972179194 scopus 로고    scopus 로고
    • Groups with super-exponential subgroup growth
    • L. Pyber, A. Shalev, Groups with super-exponential subgroup growth, Combinatorica.
    • Combinatorica
    • Pyber, L.1    Shalev, A.2
  • 46
    • 0039768902 scopus 로고    scopus 로고
    • Variations on polynomial subgroup growth
    • Segal D. Variations on polynomial subgroup growth. Israel J. Math. 94:1996;7-19.
    • (1996) Israel J. Math. , vol.94 , pp. 7-19
    • Segal, D.1
  • 47
    • 84963057002 scopus 로고
    • On the fixity of linear groups
    • Shalev A. On the fixity of linear groups. Proc. London Math. Soc. (3). 68:1994;265-293.
    • (1994) Proc. London Math. Soc. (3) , vol.68 , pp. 265-293
    • Shalev, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.