Complemented subgroups and p-nilpotence in finite groups

被引：15

作者：

Qiao, Shouhong ^{[1
]}

Isaacs, I. M. ^{[2
]}

Li, Yangming ^{[3
]}

机构：

[1] Guangdong Univ Technol, Sch Appl Math, Guangzhou 510006, Guangdong, Peoples R China

[2] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

[3] Guangdong Univ Educ, Dept Math, Guangzhou 510310, Guangdong, Peoples R China

来源：

ARCHIV DER MATHEMATIK | 2012年 / 98卷 / 05期

关键词：

Finite group; Complemented subgroup; p-nilpotent group;

D O I：

10.1007/s00013-012-0386-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let be the smallest prime divisor of the order of a finite group . We find sufficient conditions for to be -nilpotent based on the existence of complements in for -subgroups of certain orders. In particular, we generalize a recent result of M. Asaad.

引用

页码：403 / 411

页数：9