Finite groups with decomposable cofactors of maximal subgroups

被引：0
|
作者：
Lemeshev, I. V. [1 ]
Monakhov, V. S. [1 ,2 ]
机构：
[1] Francisk Skorina Gomel State Univ, Gomel, BELARUS
[2] Francisk Skorina Gomel State Univ, Physicomath Sci, Gomel, BELARUS
来源：
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2011年 / 17卷 / 04期
关键词：
finite group; p-solvable group; maximal subgroup; cofactor;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A finite group with a nilpotent pi-Hall subgroup and pi-decomposable cofactors of maximal subgroups is studied. It is established that the quotient of this group by the Fitting subgroup is pi-decomposable, which implies that a finite group with nilpotent cofactors of maximal subgroups is metanilpotent.
引用
收藏
页码：181 / 188
页数：8
相关论文
共 50 条
  • [21] Finite groups with four conjugacy classes of maximal subgroups
    Belonogov, Vyacheslav A.
    Zenkov, Viktor I.
    Kondrat'ev, Anatoly S.
    EUROPEAN JOURNAL OF MATHEMATICS, 2023, 9 (04)
  • [22] Finite Groups with Three Nonconjugate Maximal Formational Subgroups
    Vasil'ev, A. F.
    Murashka, V., I
    Furs, A. K.
    MATHEMATICAL NOTES, 2022, 111 (3-4) : 356 - 363
  • [23] THE NUMBER OF MAXIMAL SUBGROUPS AND PROBABILISTIC GENERATION OF FINITE GROUPS
    Ballester-Bolinches, Adolfo
    Esteban-Romero, Ramon
    Jimenez-Seral, Paz
    Meng, Hangyang
    INTERNATIONAL JOURNAL OF GROUP THEORY, 2020, 9 (01) : 31 - 42
  • [24] Finite groups with four conjugacy classes of maximal subgroups
    Vyacheslav A. Belonogov
    Viktor I. Zenkov
    Anatoly S. Kondrat’ev
    European Journal of Mathematics, 2023, 9
  • [25] Finite Groups with Three Nonconjugate Maximal Formational Subgroups
    A. F. Vasil’ev
    V. I. Murashka
    A. K. Furs
    Mathematical Notes, 2022, 111 : 356 - 363
  • [26] On s-completions of maximal subgroups of finite groups
    Li, SR
    Zhao, YQ
    ALGEBRA COLLOQUIUM, 2004, 11 (03) : 411 - 420
  • [27] FINITE GROUPS WHOSE MAXIMAL SUBGROUPS HAVE ONLY SOLUBLE PROPER SUBGROUPS
    Lytkina, D. V.
    Zhurtov, A. Kh.
    SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2022, 19 (01): : 237 - 240
  • [28] Finite groups with some maximal subgroups of Sylow subgroups ℳ-supplemented
    Long Miao
    Mathematical Notes, 2009, 86 : 655 - 664
  • [29] On Π-property of some maximal subgroups of Sylow subgroups of finite groups
    Qiu, Zhengtian
    Liu, Jianjun
    Chen, Guiyun
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2023, 73 (04) : 1349 - 1358
  • [30] FINITE GROUPS WITH PRESCRIBED Φ-SIMPLE MAXIMAL SUBGROUPS
    Bazhanova, E. N.
    Vedernikov, V. A.
    SIBERIAN MATHEMATICAL JOURNAL, 2021, 62 (06) : 981 - 993
12345