摘要
本文用子群π-拟正规和半正规的条件给出了p-闭群的若干充要条件,由此得到幂零群的许多新刻划.本文的不少结果推广或强化了现有的结论.
This paper provides some necessary and sufficient conditions for p-ciosed groups with the help of π-quasi-normal and semi-normal subgroups,and obtains many new characterizations of finite nilpotent groups from these conditions.Many conclusions in this paper extend and strengthen those ones now available.
出处
《四川师范大学学报(自然科学版)》
CAS
CSCD
1994年第1期26-29,共4页
Journal of Sichuan Normal University(Natural Science)
关键词
拟正规子群
P闭群
有限群
幂零群
p-closed proup,π-quasi-normal subgroup,semi-normal subgroup,q-basic group