广西科学2004，Vol.11Issue(1)：1-3,9,4.
有限群的弱n-Engle条件和p-幂零性
A Weak n-Engel Condition and the p-nilpotency of Finite Groups
摘要
Abstract
Let G be a finite group. For a weak n -Engel condition of G, we mean that [x,ny] ∈ Z(G) for two elements x and y of G, where n is a positive integer. A subgroup H of G is called csupplemented in G if there exists a subgroup K of G such that HK = G and H ∩ K ≤ CoreG(H). In this paper,we discuss the sufficient conditions of a p-nilpotent group by using supplementation of the cyclic subgroups of order 4 under some assumptions weaker than the n-Engel condition on minimal subgroups of G.关键词
有限群 Engle条件 p-幂零群 c-可补子群Key words
finite group/Engel condition/p-nilpotent group/c-supplemented subgroup分类
数理科学引用本文复制引用
钟祥贵..有限群的弱n-Engle条件和p-幂零性[J].广西科学,2004,11(1):1-3,9,4.基金项目
Supported by Natural Science Foundation of China (10161001) andNatural Science Foundation of Guangxi Normal University. （10161001）
