摘要
设H是有限群G的子群,如果存在G的一个子群K,使得G=HK且H∩K在K中S-拟正规,则称H在G中SS-可补.利用部分极大子群的SS-可补性给出了有限群可解和p-可解的一些充分条件.
A subgroup H of a group G is said to be SS-supplemented in G,if there exists a subgroup K of G such that G=HK and H∩K is S-quasinormal in K.In this paper,some sufficient conditions for solvability and p-solvability of finite groups are obtained by using the SS-supplementarity of partial maximal subgroups.
作者
袁媛
常健
刘建军
YUAN Yuan;CHANG Jian;LIU Jian-jun(School of Finance, Rongzhi College of Chongqing Technology and Business University, Chongqing 401320, China;School of Mathematics and Statistics, Southwest University, Chongqing 400715, China)
出处
《西南师范大学学报（自然科学版）》
CAS
北大核心
2020年第4期1-4,共4页
Journal of Southwest China Normal University(Natural Science Edition)
基金
国家自然科学基金项目(11301426)
重庆市基础研究与前沿探索项目(cstc2018jcyjAX0147)
中央高校基本科研业务费项目(XDJK2020B052).
关键词
SS-可补子群
极大子群
可解群
P-可解群
SS-supplemented subgroup
maximal subgroup
solvable group
p-solvable group
