A generalization of Burnside's p-nilpotency criterion

被引：5

作者：

Li, Yangming ^{[1
]}

Su, Ning ^{[2
]}

Wang, Yanming ^{[2
,3
]}

机构：

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

[2] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

[3] Sun Yat Sen Univ, Lingnan Coll, Guangzhou 510275, Guangdong, Peoples R China

来源：

JOURNAL OF GROUP THEORY | 2017年 / 20卷 / 01期

关键词：

FINITE-GROUPS;

D O I：

10.1515/jgth-2016-0028

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p be a prime number, let G be a finite group, and let P be a Sylow p-subgroup of G. Under the assumption that N-G. (P) is p-nilpotent, we give an equivalent condition of the p-nilpotency of G. Our result is a generalization of the famous Burnside p-nilpotency criterion and some recent results.

引用

页码：185 / 192

页数：8

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