HUANG Yu-jian1,LI Yang-ming2(1.Department of Teaching Administration,Guangdong Industry Technical College,Guangzhou 510300,China2.Department of Mathematics,Guangdong Institute of Education,Guangzhou 510303,China)
Abstract:Suppose that G is a finite group and called H is a subgroup of G.Let HSG denote the maximal s-permutable subgroup of G contained in H.H is called weakly s-permutable in G if G has a subnormal subgroup T such that HT=G and T∩H≤HSG.We prove the following