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

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2016年 / 94卷 / 03期

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

页码：437 / 448

页数：12

共 50 条

[31] Semipermutable subgroups and s-semipermutable subgroups in finite groups
Li, Yangming
FRONTIERS OF MATHEMATICS IN CHINA, 2022, 17 (01) : 23 - 46
[32] A note on s-conditional permutability of maximal subgroups of Sylow subgroups of finite groups
Yu, Haoran
MONATSHEFTE FUR MATHEMATIK, 2018, 187 (04): : 729 - 733
[33] The Maximal Subgroups of Sylow Subgroups and the Structure of Finite Groups
Li, Changwen
Zhang, Xuemei
Huang, Jianhong
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2019, 37 (01): : 113 - 124
[34] Finite Groups with H-Subgroups
Shen, Zhencai
Du, Ni
ALGEBRA COLLOQUIUM, 2013, 20 (03) : 421 - 426
[35] On strongly closed and Hall s-semiembedded subgroups of finite groups
Yu, Haoran
Xu, Xiaowei
Zhang, Guanghao
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2023, 22 (09)
[36] ON s-PERMUTABLE SUBGROUPS AND p-NILPOTENCY OF FINITE GROUPS
Wei, Xianbiao
Guo, Xiuyun
COMMUNICATIONS IN ALGEBRA, 2009, 37 (10) : 3410 - 3417
[37] Finite groups with H-subgroups or strongly closed subgroups
Shen, Zhencai
Li, Shirong
JOURNAL OF GROUP THEORY, 2012, 15 (01) : 85 - 100
[38] Finite groups with some minimal subgroups are H C-subgroups
Wei, Xianbiao
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2019, 18 (05)
[39] On nearly -supplemented primary subgroups of finite groups
Zhang, Jia
Miao, Long
Bao, Hongwei
COMMUNICATIONS IN ALGEBRA, 2019, 47 (02) : 896 - 903
[40] On some permutable embeddings of subgroups of finite groups
Ballester-Bolinches, Adolfo
Beidleman, James C.
RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI, 2017, 28 (02) : 339 - 347

← 1 2 3 4 5 →