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关于有限群极大子群的CI-截和Deskins完备的一个注记

徐颖吾 刘莉

纺织高校基础科学学报Issue(4):489-493,5.
纺织高校基础科学学报Issue(4):489-493,5.

关于有限群极大子群的CI-截和Deskins完备的一个注记

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

徐颖吾 1刘莉2

作者信息

  • 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
  • 折叠

摘要

Abstract

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 M∩ K/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

Key words

c-sections/maximal subgroups/Deskins completions/finite solvable groups

分类

数理科学

引用本文复制引用

徐颖吾,刘莉..关于有限群极大子群的CI-截和Deskins完备的一个注记[J].纺织高校基础科学学报,2013,(4):489-493,5.

基金项目

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

纺织高校基础科学学报

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