摘要
设G是一个有限群,G的子群H被称为SS-拟正规子群,如果H在G中有补B且H与B的任一Sylow子群可交换.本文考察了SS-拟正规子群对有限群结构的影响,并得到了超可解群和p-超可解群的一些新的判别准则.
Let G be a finite group.A subgroup H of G is said to be SS-quasinormal in G if there is a supplement B of H to G such that H permutes with any Sylow subgroup of B.In this article,the influence of SS-quasinormal subgroups on the structure of finite groups are investigated and some new criteria of supersolvable groups and p-supersolvable groups are obtained.
作者
高建玲
毛月梅
GAO Jianling;MAO Yuemei(School of Mathematics and Statistics,Shanxi Datong University,Datong,Shanxi,037009,P.R.China)
出处
《数学进展》
CSCD
北大核心
2023年第4期647-654,共8页
Advances in Mathematics（China）
基金
Supported by NSFC(No.11901364)
Applied Basic Research Project of Shanxi Province(No.201901D211439)
Research Fund Project of Shanxi Datong University(No.2019K4)
Research Fund Project of Shanxi Datong University(No.2020K8)
关键词
SS-拟正规子群
超可解群
P-超可解群
SS-quasinormal subgroups
supersolvable groups
p-supersolvable groups
作者简介
高建玲,E-mail:gaojl1981@163.com;毛月梅,E-mail:maoyuemei@126.com
