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

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