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
  • [42] The Subgroups of Finite Metacyclic Groups
    Yang, Xu
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2020, 41 (02) : 241 - 266
  • [43] On Φ-τ-Supplement Subgroups of Finite Groups
    Xiaojian MA
    Yuemei MAO
    Journal of Mathematical Research with Applications, 2017, 37 (03) : 281 - 289
  • [44] On minimal subgroups of finite groups
    Asaad, M
    MATHEMATICS AND THE 21ST CENTURY, 2001, : 153 - 158
  • [45] On permuteral subgroups in finite groups
    Vasil'ev, A. F.
    Vasil'ev, V. A.
    Vasil'eva, T. I.
    SIBERIAN MATHEMATICAL JOURNAL, 2014, 55 (02) : 230 - 238
  • [46] SUBGROUPS OF FINITE ALGEBRAIC GROUPS
    OBERST, U
    SCHNEIDE.HJ
    MANUSCRIPTA MATHEMATICA, 1973, 8 (03) : 217 - 241
  • [47] On σ-Subnormal Subgroups of Finite Groups
    S. F. Kamornikov
    V. N. Tyutyanov
    Siberian Mathematical Journal, 2020, 61 : 266 - 270
  • [48] On -quasinormal subgroups of finite groups
    Guo, Wenbin
    Skiba, Alexander N.
    MONATSHEFTE FUR MATHEMATIK, 2018, 185 (03): : 443 - 453
  • [49] Isolated subgroups in finite groups
    Meierfrankenfeld, Ulrich
    Parker, Christopher
    Rowley, Peter
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2009, 79 : 107 - 128
  • [50] A GRAPH OF SUBGROUPS OF FINITE GROUPS
    CSAKANY, B
    POLLAK, G
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 1969, 19 (02) : 241 - &