p-可解群中子群的相互作用  

The Action of Subgroups on p-solvable Groups

作　　者：赵科[1] 赵可琴[2] 黄建华[2] 

机构地区：[1]开封大学数学教研部,河南开封475004 [2]郑州大学数学系,河南郑州450052

出　　处：《许昌学院学报》2007年第2期10-12,共3页Journal of Xuchang University

摘　　要：利用可解群的性质和有限群的基本定理,通过局部分析方法研究了p-可解群中一些子群的性质及子群间的相互作用,并着重考察了Op′(G)=1的情况,得到了关于p-可解群的一些结论.The partly analytical method is the most basic one of finite groups. Using the properties of solva- ble groups and the basic theorems of finite groups, and utilizing the partly analytical method, the properties of some subgroups of p-solvable groups and the action on subgroups are studied. In this paper, the case of Op- （G） = 1 is especially considered, and some results of p - solvable groups are obtained.

关 键 词：P-可解群 中心化 作用 幂零作用 

分 类 号：O152.1[理学—数学]