﻿ 某些C-S-置换子群对有限群结构的影响

# 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

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。

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.

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