The influence of S-quasinormality of some subgroups of prime power order on the structure of finite groups

被引:15
|
作者
Ramadan, M [1 ]
机构
[1] Cairo Univ, Fac Sci, Dept Math, Giza, Egypt
关键词
Finite Group; Prime Power; Sylow Subgroup; Prime Power Order;
D O I
10.1007/PL00000473
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let G be a finite group. Two subgroups H and K of G are said to permute if [H, K] = HK = KH. A subgroup H of G is S-quasinormal in G if it permutes with every Sylow subgroup of G. In this paper we investigate the influence of S-quasinormality of some subgroups of prime power order of a finite group on its supersolvability.
引用
收藏
页码:143 / 148
页数:6
相关论文
共 50 条
  • [31] Influence of partially τ-embedded subgroups of prime power order in supersolubility and p-nilpotency of finite groups
    Chen, Lian
    Mahboob, Abid
    Hussain, Taswer
    Ali, Iftikhar
    JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, 2019, 13 (01): : 1044 - 1049
  • [32] The influence of some primary subgroups on the structure of finite groups
    Kang P.
    European Journal of Mathematics, 2018, 4 (2) : 603 - 611
  • [33] Finite supersolvable groups and Hall normally embedded subgroups of prime power order
    Zheng, Weicheng
    Meng, Wei
    RICERCHE DI MATEMATICA, 2024, : 1199 - 1206
  • [34] On c-normality of certain subgroups of prime power order of finite groups
    M. Ramadan
    M. Ezzat. Mohamed
    A. A. Heliel
    Archiv der Mathematik, 2005, 85 : 203 - 210
  • [35] FINITE GROUPS WITH CERTAIN SUBGROUPS OF PRIME POWER ORDER c-SUPPLEMENTED
    Al-Mestady, Mohammed O.
    JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2011, 21 (02): : 157 - 168
  • [36] On c-normality of certain subgroups of prime power order of finite groups
    Ramadan, M
    Mohamed, ME
    Heliel, AA
    ARCHIV DER MATHEMATIK, 2005, 85 (03) : 203 - 210
  • [37] Finite groups in which all subgroups of non-prime-power order are TI-subgroups
    Shi, Jiangtao
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2018, 29 (05): : 1210 - 1213
  • [38] The influence of TI-property and subnormality of self-centralizing subgroups of non-prime-power order on the structure of finite groups
    Shi, Jiangtao
    Li, Na
    QUAESTIONES MATHEMATICAE, 2023, 46 (12) : 2605 - 2610
  • [39] The influence of SΦ-supplemented subgroups on the structure of finite groups
    He, Xuanli
    Guo, Qinghong
    Wang, Ju
    COMMUNICATIONS IN ALGEBRA, 2022, 50 (12) : 5296 - 5302
  • [40] Finite Groups with Some Subgroups of Given Order
    Shi, Jiangtao
    Zhang, Cui
    Liang, Dengfeng
    ALGEBRA COLLOQUIUM, 2013, 20 (03) : 457 - 462