摘要
利用有限群G的某些p阶子群或者p^2阶子群的弱■可补性质,刻画有限群的结构,给出p幂零群的新刻画.
Let G be a finite group.In this paper,the structure of G under the assumption that some subgroups of order p or p^2 of G are weakly s-supplemented in G is studied.Some new characterizations of p-nilpotency of finite groups are obtained.
作者
谢凤艳
Xie Fengyan(School of Civil Engineering & Architecture,University of Anyang,Anyang 455000,He'nan,China)
出处
《江苏师范大学学报(自然科学版)》
CAS
2019年第1期43-45,共3页
Journal of Jiangsu Normal University:Natural Science Edition
基金
河南省高等学校青年骨干教师培养计划(2016GGJS-204)
关键词
有限群
p幂零群
弱■可补子群
广义Fittingp子群
finite group
p-nilpotent group
weakly ■-supplemented subgroup
generalized p-Fitting subgroup