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
DOI: 10.12677/PM.2013.32020, PDF, HTML,    国家自然科学基金支持
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: 设H为有限群G的子群，C为G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H在G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。
Abstract: 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. 某些C-S-置换子群对有限群结构的影响[J]. 理论数学, 2013, 3(2): 126-132. http://dx.doi.org/10.12677/PM.2013.32020

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