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
收藏
页码：403 / 411
页数：9
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