Finite groups with some weakly s-semipermutable subgroups

被引：2

作者：

Zhong, Guo ^{[1
]}

Ma, Xuanlong ^{[2
]}

Yang, Liying ^{[1
]}

Xia, Jiayi ^{[1
]}

机构：

[1] Guangxi Teachers Educ Univ, Sch Math Sci, Nanning 530023, Guangxi, Peoples R China

[2] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

来源：

ADVANCES IN PURE AND APPLIED MATHEMATICS | 2013年 / 4卷 / 02期

关键词：

Weakly s-semipermutable subgroup; p-nilpotentcy; p-supersolvability; saturated formation;

D O I：

10.1515/apam-2013-0014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A subgroup H of a finite group G is said to be weakly s-semipermutable in G if there exist a subnormal subgroup K of G and an s-semipermutable subgroup H-ssG of G contained in H such that G = HK and H boolean AND K <= H-ssG. In this paper, we research the influence of weakly s-semipermutability of some primary subgroups on the structure of finite groups. Some new results on p-supersolvability and p-nilpotency of finite groups are shown.

引用

页码：203 / 213

页数：11

共 50 条

[21] Finite groups with some subgroups of Sylow subgroups weakly H-embedded
Asaad, Mohamed
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2018, 93 (3-4): : 475 - 485
[22] On weakly s-permutable subgroups of finite groups
Skiba, Alexander N.
JOURNAL OF ALGEBRA, 2007, 315 (01) : 192 - 209
[23] ON WEAKLY S-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS
Mohamed, M. Ezzat
ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2010, 35 (2D): : 235 - 240
[24] On weakly τ-quasinormal subgroups of finite groups
V. O. Lukyanenko
A. N. Skiba
Acta Mathematica Hungarica, 2009, 125 : 237 - 248
[25] On weakly τ-quasinormal subgroups of finite groups
Lukyanenko, V. O.
Skiba, A. N.
ACTA MATHEMATICA HUNGARICA, 2009, 125 (03) : 237 - 248
[26] FINITE GROUPS WITH WEAKLY S-QUASINORMALLY EMBEDDED SUBGROUPS
Yang, Nanying
Guo, Wenbin
Huang, Jianhong
Xu, Manhong
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2012, 11 (03)
[27] The influence of weakly SΦ-supplemented subgroups on the structure of finite groups
Asaad, Mohamed
PUBLICATIONES MATHEMATICAE DEBRECEN, 2023, 102 (1-2): : 189 - 195
[28] On Weakly s-permutably Embedded Subgroups of Finite Groups
Li, Yangming
Qiao, Shouhong
Wang, Yanming
COMMUNICATIONS IN ALGEBRA, 2009, 37 (03) : 1086 - 1097
[29] ON MINIMAL WEAKLY s-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS
Li, Yangming
Li, Baojun
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2011, 10 (05) : 811 - 820
[30] ON WEAKLY S-PERMUTABLY EMBEDDED SUBGROUPS OF FINITE GROUPS
Yu, Haoran
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2016, 94 (03) : 437 - 448

← 1 2 3 4 5 →