ON s-PERMUTABLE SUBGROUPS AND p-NILPOTENCY OF FINITE GROUPS

被引：8

作者：

Wei, Xianbiao ^{[1
,2
]}

Guo, Xiuyun ^{[1
]}

机构：

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

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

来源：

COMMUNICATIONS IN ALGEBRA | 2009年 / 37卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Finite groups; p-nilpotency; s-permutable subgroups; MINIMAL SUBGROUPS; QUASINORMALITY; NORMALITY;

D O I：

10.1080/00927870802502852

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 s-permutable in G if H permutes with every Sylow subgroup of G. In this article, some sufficient conditions for a finite group G to be p-nilpotent are given whenever all subgroups with order pm of a Sylow p-subgroup of G are s-permutable for a given positive integer m.

引用

页码：3410 / 3417

页数：8

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