On Boundary Factors and Traces of Subgroups of Finite Groups

查看全文 作　　者：[1]W.Guo;Alexander [2]N.Skiba;[1]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》索引2014年第2卷第3期,共13页

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

相关文献

参考文献（24）
引证文献（9）
耦合文献（15）

参考文献(24)

引证文献(9)

耦合文献(15)

互联网出版许可证新出网证(渝)字10号全国400电话 - 免长途话费

On Boundary Factors and Traces of Subgroups of Finite Groups

参考文献(24)

引证文献(9)

耦合文献(15)

用户提示