广西师范大学学报（自然科学版）2012，Vol.30Issue(1)：25-28,4.
弱-s-可补子群对有限群结构的影响
Influence of Weakly -s-supplemented Subgroups on the Structure of Finite Groups
摘要
Abstract
Let H be a subgroup of a finite group G. H is called weakly -supplemented if there exists a subgroup T of G such that G=TH and H∩T≤H-sG,where H-sG is the subgroup generalized by all subgroups of H which are s-semipermutable in G. In this paper,the influence of minimal subgroups and subgroups of order 4 which are weakly -s-supplemented in G on the structure of finite groups is studied,and several sufficient conditions of p-nilpotency of G are given.关键词
弱s-可补/p-幂零群/极小子群Key words
weakly -s-supplemented subgroups/p-nilpotent group/minimal subgroup分类
数理科学引用本文复制引用
李先崇,黎先华..弱-s-可补子群对有限群结构的影响[J].广西师范大学学报（自然科学版）,2012,30(1):25-28,4.基金项目
国家自然科学基金资助项目(11171243,10871032) （11171243,10871032）
江苏省自然科学基金资助项目(BK2008156) （BK2008156）
