Second Maximal Subgroups of a Sylow p-Subgroup and the p-Nilpotency of Finite Groups

被引：0

作者：

Xu, Y. ^{[1
]}

Li, X. H. ^{[2
]}

机构：

[1] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang, Peoples R China

[2] Soochow Univ, Sch Math Sci, Suzhou, Jiangsu, Peoples R China

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2014年 / 66卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Normal Subgroup; Finite Group; Simple Group; Maximal Subgroup; Prime Divisor;

D O I：

10.1007/s11253-014-0971-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A subgroup H of a group G is said to be weakly s-semipermutable in G if G has a subnormal subgroup T such that HT = G and H a (c) T a parts per thousand currency sign , where is the subgroup of H generated by all subgroups of H that are s-semipermutable in G. The main aim of the paper is to study the p-nilpotency of a group for which every second maximal subgroup of its Sylow p-subgroups is weakly s-semipermutable. Some new results are obtained.

引用

页码：775 / 780

页数：6

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