标题:
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, 王燕鸣
关键字:
C-S-置换子群, 广义Fitting, 子群群系C-S-Permutable Subgroup; Generalized Fitting; Subgroup Formation
期刊名称:
《Pure Mathematics》, Vol.3 No.2, 2013-03-28
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。
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.