关于有限群极大子群的CI-截和Deskins完备的一个注记(英文)  

A note on c-sections and Deskins completions of maximal subgroups of a finite group

作　　者：徐颖吾[1] 刘莉[2] 

机构地区：[1]西安工程大学 理学院,陕西西安710048 [2]延安大学 数学与计算机科学学院,陕西延安716000

出　　处：《纺织高校基础科学学报》2013年第4期489-493,共5页Basic Sciences Journal of Textile Universities

基　　金：Supported by National Natural Science Foundation of China(Grant 11226038);Specialized Research Fund of Education Department of Shaanxi Provincial Govermment(11JK0499)

摘　　要：设G是有限群,M是G的极大子群.令K/N是G的一个主因子,K≤M而NM,称M∩N/K为M的一个CI-截,M的所有CI-截都同构.M在G中的一个完备是G的一个子群C,如果CM,而C的每个G-不变真子群都在M中.应用这些概念,本文得到了有关有限群可解性的新结论.Let G be a finite group and let M be a maximal subgroup of G. For a G-chief factor K/ N satisfying N≤M but K M, we call MNK/N a c-section of M. All c-sections of M are iso- morphic. A completion of M in G is a subgroup C of G such that C M while every proper sub- group of C which is normal in G is contained in M. By means of these concepts,some new re- sults on the solvability of finite groups are obtained.

关 键 词：CI-截 极大子群 Deskins完备 有限可解群 

分 类 号：O152[理学—数学]