Chiral polyhedra and finite simple groups

被引：8
|
作者：
Leemans, Dimitri [1 ,2 ]
Liebeck, Martin W. [3 ]
机构：
[1] Univ Auckland, Dept Math, Private Bag 92019, Auckland, New Zealand
[2] Univ Libre Bruxelles, CP 216 Algebre & Combinatoire Blvd Triomphe, B-1050 Brussels, Belgium
[3] Imperial Coll, Dept Math, London SW7 2AZ, England
来源：
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2017年 / 49卷 / 04期
关键词：
LIE TYPE; RIEMANN SURFACES; CLASSICAL-GROUPS; SYMMETRIC-GROUPS; GENERATORS; OVERGROUPS; SUBGROUPS; MAPS;
D O I：
10.1112/blms.12041
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that every finite non-abelian simple group acts as the automorphism group of a chiral polyhedron, apart from the groups PSL2(q), PSL3(q), PSU3(q) and A7.
引用
收藏
页码：581 / 592
页数：12
相关论文
共 50 条
  • [1] Chiral polyhedra arising from almost simple groups with socle
    Leemans, Dimitri
    Moerenhout, Jeremie
    [J]. JOURNAL OF ALGEBRAIC COMBINATORICS, 2016, 44 (02) : 293 - 323
  • [2] The finite simple groups
    Shiu, Peter
    [J]. MATHEMATICAL GAZETTE, 2011, 95 (532): : 157 - +
  • [3] FINITE SIMPLE GROUPS
    HURLEY, JF
    RUDVALIS, A
    [J]. AMERICAN MATHEMATICAL MONTHLY, 1977, 84 (09): : 693 - 714
  • [4] WHITEHEAD-GROUPS OF FINITE POLYHEDRA WITH NONPOSITIVE CURVATURE
    HU, BZ
    [J]. JOURNAL OF DIFFERENTIAL GEOMETRY, 1993, 38 (03) : 501 - 517
  • [5] Centralisers of finite groups in locally finite simple groups
    Benson, David J.
    [J]. COMMUNICATIONS IN ALGEBRA, 2023, 51 (11) : 4795 - 4803
  • [6] On the structure of finite groups isospectral to finite simple groups
    Grechkoseeva, Mariya A.
    Vasil'ev, Andrey V.
    [J]. JOURNAL OF GROUP THEORY, 2015, 18 (05) : 741 - 759
  • [7] Locally finite simple groups from the standpoint of the classification of finite simple groups
    Belyaev, VV
    [J]. ALGEBRA, 1996, : 35 - 40
  • [8] Finite Groups Isospectral to Simple Groups
    Grechkoseeva, Maria A.
    Mazurov, Victor D.
    Shi, Wujie
    Vasil'ev, Andrey V.
    Yang, Nanying
    [J]. COMMUNICATIONS IN MATHEMATICS AND STATISTICS, 2023, 11 (02) : 169 - 194
  • [9] Groups saturated by finite simple groups
    D. V. Lytkina
    [J]. Algebra and Logic, 2009, 48 : 357 - 370
  • [10] Finite Groups Isospectral to Simple Groups
    Maria A. Grechkoseeva
    Victor D. Mazurov
    Wujie Shi
    Andrey V. Vasil’ev
    Nanying Yang
    [J]. Communications in Mathematics and Statistics, 2023, 11 : 169 - 194
12345