The influence of H-subgroups on the structure of finite groups

被引：28

作者：

Guo, Xiuyun ^{[1
]}

Wei, Xianbiao ^{[1
,2
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] Anhui Inst Architecture & Ind, Dept Math & Phys, Hefei 230022, Peoples R China

来源：

JOURNAL OF GROUP THEORY | 2010年 / 13卷 / 02期

基金：

中国国家自然科学基金;

关键词：

MINIMAL SUBGROUPS;

D O I：

10.1515/JGT.2009.050

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A subgroup H is said to be an H-subgroup of a group G if H(g) boolean AND N(G)(H) <= H for all g is an element of G. In this paper, we investigate the structure of a group G under the assumption that every subgroup of order p(m) of a Sylow p-subgroup of G belongs to H(G) for a given positive integer m. Some results related to p-nilpotence and supersolvability of a group G are obtained.

引用

页码：267 / 276

页数：10

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