Carter subgroups of finite groups

被引:8
|
作者
Vdovin E.P. [1 ]
机构
[1] Sobolev Institute of Mathematics
基金
俄罗斯基础研究基金会;
关键词
Carter subgroup; Conjugated powers of an element; Finite simple group; Group of Lie type; Linearal gebraic group; Semilinear group of Lie type; Semilinearal gebraic group;
D O I
10.3103/S1055134409010039
中图分类号
学科分类号
摘要
It is proven that the Carter subgroups of a finite group are conjugate. A complete classification of the Carter subgroups in finite almost simple groups is also obtained. © Allerton Press, Inc. 2009.
引用
收藏
页码:24 / 74
页数:50
相关论文
共 50 条
  • [31] ON Π-PERMUTABLE SUBGROUPS IN FINITE GROUPS
    Hu, B.
    Huang, J.
    Adarchenko, N. M.
    UKRAINIAN MATHEMATICAL JOURNAL, 2022, 73 (10) : 1643 - 1653
  • [32] ON τ-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS
    Li, Changwen
    Zhang, Xuemei
    Yi, Xiaolan
    MISKOLC MATHEMATICAL NOTES, 2013, 14 (03) : 997 - 1008
  • [33] ON SEMINORMAL SUBGROUPS OF FINITE GROUPS
    Ballester-Bolinches, A.
    Beidleman, J. C.
    Perez-Calabuig, V.
    Ragland, M. F.
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2017, 47 (02) : 419 - 427
  • [34] On complemented subgroups of finite groups
    Li, DY
    Guo, XY
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2001, 22 (02) : 249 - 254
  • [35] ON Φ-τ-QUASINORMAL SUBGROUPS OF FINITE GROUPS
    Mao, Y.
    Ma, X.
    Tang, X.
    Huang, J.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2017, 43 (07): : 2169 - 2182
  • [36] Near subgroups of finite groups
    Aschbacher, M
    JOURNAL OF GROUP THEORY, 1998, 1 (02) : 113 - 129
  • [37] On primitive subgroups of finite groups
    Guo, Wenbin
    Shum, K. P.
    Skiba, Alexander
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2006, 37 (06): : 369 - 376
  • [38] The Subgroups of Finite Metacyclic Groups
    Yang, Xu
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2020, 41 (02) : 241 - 266
  • [39] On Products of Subgroups of Finite Groups
    A. Ballester-Bolinches
    Gil Kaplan
    V. Pérez-Calabuig
    Mediterranean Journal of Mathematics, 2023, 20