On Boundary Factors and Traces of Subgroups of Finite Groups  

作　　者：W.Guo Alexander N.Skiba X.Tang 

机构地区：[1]School of Mathematical Sciences,University of Science and Technology of China,Hefei 230026,People’s Republic of China [2]Department of Mathematics,Francisk Skorina Gomel State University,246019 Gomel,Belarus

出　　处：《Communications in Mathematics and Statistics》2014年第3期349-361,共13页数学与统计通讯（英文）

基　　金：Research of the first author is supported by aNNSFgrant ofChina(Grant#11371335);WuWen-Tsun Key Laboratory of Mathematics,USTC,Chinese Academy of Sciences.Research of the second author supported by Chinese Academy of Sciences Visiting Professorship for Senior International Scientists(Grant No.2010T2J12).

摘　　要：A subgroup E of a finite group G is called hypercyclically embedded in G if every chief factor of G below E is cyclic.Let A be a subgroup of a group G.Then we call any chief factor H/AG of G a G-boundary factor of A.For any G-boundary factor H/AG of A,we call the subgroup(A∩H)/AG of G/AG a G-trace of A.On the basis of these notions,we give some new characterizations of hypercyclically embedded subgroups.

关 键 词：Finite group Hypercyclically embedded subgroup G-boundary factor G-trace of subgroup Meet-irreducible subgroup 

分 类 号：O15[理学—数学]