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
收藏
页码：3410 / 3417
页数：8
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