Finite groups with formation subnormal primary subgroups

被引:5
|
作者
Monakhov, V. S. [1 ]
Sokhor, I. L. [1 ]
机构
[1] Francisk Skorina Gomel State Univ, Gomel, BELARUS
关键词
finite group; primary subgroup; subnormal subgroup; abnormal subgroup;
D O I
10.1134/S0037446617040127
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Given a hereditary saturated formation F containing all nilpotent groups, we describe finite soluble groups in which every primary subgroup is self-normalizing or F-subnormal.
引用
收藏
页码:663 / 671
页数:9
相关论文
共 50 条
  • [21] Permutable subnormal subgroups of finite groups
    A. Ballester-Bolinches
    J. C. Beidleman
    John Cossey
    R. Esteban-Romero
    M. F. Ragland
    Jack Schmidt
    [J]. Archiv der Mathematik, 2009, 92 : 549 - 557
  • [22] On generalised subnormal subgroups of finite groups
    Ballester-Bolinches, A.
    Beidleman, James
    Feldman, A. D.
    Ragland, M. F.
    [J]. MATHEMATISCHE NACHRICHTEN, 2013, 286 (11-12) : 1066 - 1071
  • [23] Finite groups with σ-subnormal Schmidt subgroups
    Yi, Xiaolan
    Kamornikov, S. F.
    [J]. JOURNAL OF ALGEBRA, 2020, 560 : 181 - 191
  • [24] On the products of ℙ-subnormal subgroups of finite groups
    A. F. Vasil’ev
    V. N. Tyutyanov
    T. I. Vasil’eva
    [J]. Siberian Mathematical Journal, 2012, 53 : 47 - 54
  • [25] On finite groups with σ-subnormal Schmidt subgroups
    Al-Sharo, Khaled A.
    Skiba, Alexander N.
    [J]. COMMUNICATIONS IN ALGEBRA, 2017, 45 (10) : 4158 - 4165
  • [26] On ?-subnormal subgroups and products of finite groups
    Heliel, A. A.
    Ballester-Bolinches, A.
    Al-Shomrani, M. M.
    Al-Obidy, R. A.
    [J]. ELECTRONIC RESEARCH ARCHIVE, 2022, 31 (02): : 770 - 775
  • [27] Finite groups with subnormal Schmidt subgroups
    V. A. Vedernikov
    [J]. Algebra and Logic, 2007, 46 : 363 - 372
  • [28] On σ-subnormal and σ-permutable subgroups of finite groups
    Skiba, Alexander N.
    [J]. JOURNAL OF ALGEBRA, 2015, 436 : 1 - 16
  • [29] On σ-subnormal subgroups of factorised finite groups
    Ballester-Bolinches, A.
    Kamornikov, S. F.
    Pedraza-Aguilera, M. C.
    Yi, X.
    [J]. JOURNAL OF ALGEBRA, 2020, 559 : 195 - 202
  • [30] Finite Groups with σ-Subnormal Schmidt Subgroups
    Ballester-Bolinches, A.
    Kamornikov, S. F.
    Yi, X.
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2022, 45 (05) : 2431 - 2440