准素子群的几乎s正规性对超中心的影响

摘要

Let H be a subgroup of a finite group G.A group H is called nearly s-normal in G if there exists a normal subgroup K of G such that HK G and H∩K≤HsG ,where HsG is the largest s-normal subgroup of G contained in H.In this paper,the structure of FΦ-hypercentre of finite groups with nearly s-normality is studied.%设H是有限群G的子群，若存在G的正规子群K ，使得HK G ，且H∩K≤HsG ，HsG是G的包含于H 的最大s拟正规子群，则称H在G中几乎s 正规。本文利用某些准素子群的几乎s正规性来研究有限群的FΦ超中心的构造。