X-semipermutable subgroups of finite groups

被引：92

作者：

Guo, Wenbin ^{[1
]}

Shum, K. P.

Skiba, Alexander N.

机构：

[1] Chinese Univ Hong Kong, Fac Sci, Hong Kong, Hong Kong, Peoples R China

[2] Xuzhou Normal Univ, Dept Math, Xuzhou 221116, Peoples R China

[3] Gomel State Univ, Dept Math, Gomel 246028, BELARUS

来源：

JOURNAL OF ALGEBRA | 2007年 / 315卷 / 01期

基金：

中国国家自然科学基金;

关键词：

finite group; X-semipermutable group; 2-maximal subgroup; supersoluble group; nilpotent group; hall; subgroup;

D O I：

10.1016/j.jalgebra.2007.06.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be a non-empty subset of a group G. Then we call a subgroup A of G a X-semipermutable subgroup of G if A has a supplement T in G such that for every subgroup T-1 of T there exists an element X E X such that A T-1(x) = T-1(x) A. In this paper, we study the properties of X-semipermutable subgroups. In particular, a new version of the famous Schur-Zassenhaus Theorem in terms of X-semipermutable subgroups is given. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：31 / 41

页数：11

共 50 条

[1] ON SOME PROPERTIES OF X-SEMIPERMUTABLE SUBGROUPS
Zhang, J.
Chen, G.
SIBERIAN MATHEMATICAL JOURNAL, 2022, 63 (01) : 193 - 196
[2] On σ-semipermutable Subgroups of Finite Groups
Wen Bin Guo
Alexander N. Skiba
Acta Mathematica Sinica, English Series, 2018, 34 : 1379 - 1390
[3] Semipermutable subgroups and s-semipermutable subgroups in finite groups
Yangming Li
Frontiers of Mathematics in China, 2022, 17 : 23 - 46
[4] On σ-semipermutable Subgroups of Finite Groups
Guo, Wen Bin
Skiba, Alexander N.
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2018, 34 (09) : 1379 - 1390
[5] On ρ-semipermutable subgroups of finite groups
Huang, Yuxi
Xu, Yong
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024,
[6] On σ-semipermutable Subgroups of Finite Groups
Wen Bin GUO
Alexander N.SKIBA
Acta Mathematica Sinica,English Series, 2018, (09) : 1379 - 1390
[7] Semipermutable subgroups and s-semipermutable subgroups in finite groups
Li, Yangming
FRONTIERS OF MATHEMATICS IN CHINA, 2022, 17 (01) : 23 - 46
[8] On σ-semipermutable Subgroups of Finite Groups
Wen Bin GUO
Alexander NSKIBA
Acta Mathematica Sinica, 2018, 34 (09) : 1379 - 1390
[9] Characterizations of Finite Groups with X-s-semipermutable Subgroups
Li, Jinbao
Yu, Dapeng
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2016, 39 (03) : 849 - 859
[10] On weakly σ-semipermutable subgroups of finite groups
Amjid, Venus
Hussain, Muhammad Tanveer
Wu, Zhenfeng
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2023, 22 (02)

← 1 2 3 4 5 →