On σ-conditionally permutable subgroups of finite groups

被引：2

作者：

Mao, Yuemei ^{[1
]}

Cao, Chenchen ^{[2
]}

Guo, Wenbin ^{[2
]}

机构：

[1] Shanxi Datong Univ, Inst Quantum Informat Sci, Datong, Peoples R China

[2] Univ Sci & Technol China, Sch Math Sci, Hefei, Anhui, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2019年 / 47卷 / 10期

关键词：

Finite groups; sigma-soluble groups; sigma-conditionally permutable subgroups; structure of finite groups; supersoluble groups; MINIMAL SUBGROUPS;

D O I：

10.1080/00927872.2019.1584813

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let sigma be some partition of the set of all primes and a complete Hall sigma-set of a finite group G. A subgroup H of G is said to be sigma-conditionally permutable in G if for any subgroup there exists an element such that In this article, we investigate the influence of sigma-conditionally permutable subgroups on the structure of finite groups.

引用

页码：4271 / 4282

页数：12

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