%0 Journal Article
%T 有限群的s-半置换子群<br>Finite Groups with Some s-Semipermutable Subgroups
%A 徐向阳
%A 李样明
%A 刘小伟
%J Advances in Applied Mathematics
%P 3220-3226
%@ 2324-8009
%D 2024
%I Hans Publishing
%R 10.12677/AAM.2024.137308
%X 设G为有限群， H为G的子群。 若对G的任意满足(|P |, |H|) = 1的Sylow 子群P ， 都有G<sub>p</sub>H = HG<sub>p</sub>成立，则称H为G的s-半置换子群。 本文，我们主要探究具有若干s-半置换子群的有限群的结构。 我们的结论推广了前人的若干结果。<br />
Suppose that G is a finite group and H is a subgroup of G. We say that H is s- semipermutable in G if HG<sub>p</sub> = G<sub>p</sub>H for any Sylow p-subgroup Gp of G with (p, |H|) = 1. We investigate the influence of s-semipermutable subgroups on the structure of finite groups. Some recent results are generalized.
%K s-半置换子群，Sylow p-子群，p- 超可解群，最小生成元数<br>s-Semipermutable Subgroup
%K Sylow p-Subgroup
%K p-Supersoluble Sroup
%K Minimum Generative  Element
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=91770