Finite Groups with -Supplemented Minimal Subgroups

被引:4
|
作者
Li, Baojun [1 ]
机构
[1] Sichuan Univ, Coll Math, Chengdu 610065, Peoples R China
基金
中国博士后科学基金;
关键词
Finite group; Minimal subgroups; p-nilpotent; -supplemented; 20D10;
D O I
10.1080/00927872.2011.653294
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let H be a subgroup of G. If there is a subgroup T of G such that HT=G and H TIH, where I has -property in G, then H is called -supplemented in G. By investigating on minimal and 2-minimal subgroups, some criteria of p-nilpotency of finite groups are obtained.
引用
收藏
页码:2060 / 2070
页数:11
相关论文
共 50 条
  • [41] M p -supplemented subgroups of finite groups
    Gao, B.
    Tang, J.
    Miao, L.
    SIBERIAN MATHEMATICAL JOURNAL, 2016, 57 (01) : 18 - 23
  • [42] A note on minimal subgroups of finite groups
    Asaad, M
    BallesterBolinches, A
    Aguilera, MCP
    COMMUNICATIONS IN ALGEBRA, 1996, 24 (08) : 2771 - 2776
  • [43] On minimal subgroups of finite groups (III)
    Li, SR
    COMMUNICATIONS IN ALGEBRA, 1998, 26 (08) : 2453 - 2461
  • [44] On complemented minimal subgroups in finite groups
    Guo, XY
    Shum, KP
    Ballester-Bolinches, A
    JOURNAL OF GROUP THEORY, 2003, 6 (02) : 159 - 167
  • [45] Minimal subgroups and the structure of finite groups
    Kang P.
    Ricerche di Matematica, 2013, 62 (1) : 91 - 95
  • [46] ON MINIMAL SUBGROUPS OF FINITE-GROUPS
    LI, SR
    COMMUNICATIONS IN ALGEBRA, 1994, 22 (06) : 1913 - 1918
  • [47] On second minimal subgroups of Sylow subgroups of finite groups
    Ballester-Bolinches, A.
    Esteban-Romero, R.
    Li, Yangming
    JOURNAL OF ALGEBRA, 2011, 342 (01) : 134 - 146
  • [48] Finite groups with some subgroups of Sylow subgroups c-supplemented
    Wang, YM
    JOURNAL OF ALGEBRA, 2000, 224 (02) : 467 - 478
  • [49] On SS-supplemented subgroups of some sylow subgroups of finite groups
    He, Xuanli
    Guo, Qinghong
    Huang, Muhong
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2023, 22 (01)
  • [50] ON WEAKLY S-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS
    Mohamed, M. Ezzat
    ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2010, 35 (2D): : 235 - 240