On ■_(τ)-s-supplemented Subgroups of Finite Groups  

作　　者：Yuemei Mao Xiaojian Ma 

机构地区：[1]School of Mathematics and Computer,University of Datong,Datong 037009,Shanxi,P.R.China [2]School of Mathematical Sciences,University of Science and Technology of China,Hefei 230026,Anhui,P.R.China

出　　处：《Journal of Mathematical Study》2016年第1期50-56,共7页数学研究（英文）

基　　金：Research was supported by a NSFC(Grant No.11371335).

摘　　要：Let ■ be a non-empty formation of groups,τ a subgroup functor and H a p-subgroup of a finite group G.Let G=G/H_(G) and H=H/H_(G).We say that H is ■_(τ)-s-supplemented in G if for some subgroup T and some τ-subgroup S of G contained in H,HT is subnormal in G and H∩T≤SZ_(■)(G).In this paper,we investigate the influence of ■_(τ)-s-supplemented subgroups on the structure of finite groups.Some new characterizations about solubility of finite groups are obtained.

关 键 词：Subnormal subgroup subgroup functor soluble group 

分 类 号：O15[理学—数学]