Let G be a finite group. Suppose that H is a subgroup of G. We say that H is s-semipermutable in G if HGp = Gp H for any Sylow p-subgroup Gp of G with（p, |H|） = 1,where p is a prime dividing the order of G. We give a p-nilpotent criterion of G under the hypotheses that some subgroups of G are s-semipermutable in G. Our result is a generalization of the famous Burnside’s p-nilpotent criterion.
类型: 期刊论文
作者: Xiangyang XU,Yangming LI
来源: Journal of Mathematical Research with Applications 2019年03期
年度: 2019
分类: 基础科学
专业: 数学
单位: Department of Mathematics,Nanchang Normal University,Department of Mathematics,Guangdong University of Education
基金: Supported by the National Natural Science Foundation of China(Grant No.11271085),the Major Projects in Basic Research and Applied Research(Natural Science)of Guangdong Province(Grant No.2017KZDXM058),Funds of Guangzhou Science and Technology(Grant No.201804010088),the Science and Technology Research Foundation of Education Department of Jiangxi Province(Grant No.GJJ171109)
分类号: O152.1
页码: 254-258
总页数: 5
文件大小: 149K
下载量: 15
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