理论数学

Vol.3 No.2 (March 2013)

某些C-S-置换子群对有限群结构的影响
Influence of Certain C-S-Permutable Subgroups on the Structure of Finite Groups

 

作者:

何宣丽 :广西大学数学与信息科学学院

王燕鸣 :中山大学岭南学院,数学与计算科学学院

 

关键词:

C-S-置换子群广义Fitting子群群系C-S-Permutable Subgroup Generalized Fitting Subgroup Formation

 

摘要:

H为有限群G的子群,CG的非空子集。记。如果对G的每个Sylow子群T,都存在某个使得,则称HG中是C-S-置换的(共轭-Sylow-置换的)。本文,我们研究有限群G的某些C-S-置换子群对G的结构的影响,改进并推广了最近的一些结果。


Let H be a subgroup of a finite group G and C a nonempty subset of G. Denote . H is said to be C-S-permutable (Conjugate-Sylow-permutable) in G, if, for every Sylow subgroup T of G, there exists some element such that . In this paper, we study the influence of certain C$-S-permutable subgroups of the finite group G on its structure. Some recent results are improved and extended.

文章引用:

何宣丽 , 王燕鸣 (2013) 某些C-S-置换子群对有限群结构的影响。 理论数学, 3, 126-132. doi: 10.12677/PM.2013.32020

 

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