ON WEAKLY S-PERMUTABLY EMBEDDED SUBGROUPS OF FINITE GROUPS

被引:4
|
作者
Yu, Haoran [1 ]
机构
[1] Peking Univ, Sch Math, Beijing 100871, Peoples R China
关键词
p-nilpotency; p-supersolvability; weakly S-permutably embedded subgroups; P-NILPOTENCY; THEOREM;
D O I
10.1017/S0004972716000344
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we obtain some criteria for p-nilpotency and p-supersolvability of a finite group and extend some known results concerning weakly S-permutably embedded subgroups. In particular, we generalise the main results of Zhang et al. ['Sylow normalizers and p-nilpotence of finite groups', Comm. Algebra 43(3) (2015), 1354-1363].
引用
收藏
页码:437 / 448
页数:12
相关论文
共 50 条
  • [1] On Weakly s-permutably Embedded Subgroups of Finite Groups
    Li, Yangming
    Qiao, Shouhong
    Wang, Yanming
    COMMUNICATIONS IN ALGEBRA, 2009, 37 (03) : 1086 - 1097
  • [2] On weakly s-permutably embedded subgroups of finite groups (II)
    Huang, Yujian
    Li, Yangming
    Qiao, Shouhong
    FRONTIERS OF MATHEMATICS IN CHINA, 2013, 8 (04) : 855 - 867
  • [3] On weakly s-permutably embedded subgroups of finite groups (II)
    Yujian Huang
    Yangming Li
    Shouhong Qiao
    Frontiers of Mathematics in China, 2013, 8 : 855 - 867
  • [4] ON WEAKLY s-PERMUTABLY EMBEDDED SUBGROUPS OF FINITE GROUPS II
    Qiao, Shouhong
    Wang, Yanming
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2012, 86 (01) : 41 - 49
  • [5] Finite Groups with Some Subgroups Weakly s-Permutably Embedded
    Shouhong QIAO
    Yanming WANG
    Journal of Mathematical Research with Applications, 2014, 34 (05) : 535 - 542
  • [6] On S-permutably embedded subgroups of finite groups
    Ballester-Bolinches, A.
    Li, Yangming
    MONATSHEFTE FUR MATHEMATIK, 2013, 172 (3-4): : 247 - 257
  • [7] On weakly s-permutably embedded subgroups
    Li, Changwen
    COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2011, 52 (01): : 21 - 29
  • [8] On ss-quasinormal or weakly s-permutably embedded subgroups of finite groups
    Qingjun Kong
    Xiuyun Guo
    Monatshefte für Mathematik, 2017, 182 : 637 - 647
  • [9] ON s-PERMUTABLY EMBEDDED AND WEAKLY c-NORMAL SUBGROUPS OF FINITE GROUPS
    Zhong, Guo
    Yang, Liying
    Ma, Xuanlong
    Lin, Shixun
    INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA, 2013, 14 : 44 - 52
  • [10] On nearly S-permutably embedded subgroups of finite groups
    Al-Sharo, Kh A.
    MATHEMATICAL NOTES, 2012, 91 (3-4) : 470 - 478