局部分析方法在可解群中的应用  

Applications of the Partly Analytical Method to Solvable Groups

作　　者：赵可琴[1] 赵科[2] 

机构地区：[1]郑州大学数学系,郑州450001 [2]开封大学数学教研部,河南开封475004

出　　处：《郑州大学学报（理学版）》2007年第4期26-28,共3页Journal of Zhengzhou University:Natural Science Edition

摘　　要：局部分析方法是有限群理论最基本的方法,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,研究了可解群和可解子群的一些性质.利用成分的性质及ThompsonA×B引理,得到了p-局部子群的相关结论.The partly analytical method is the most basic one for studying finite groups. By using the properties of solvable groups and the basic theorems of finite groups, and through the partly analytical method, the properties of solvable groups and solvable subgroups are studied. Moreover, based on the properties of component and Thompson A×B lemma, some results of p -partly subgroups are obtained.

关 键 词：有限群 可解群 P-子群 中心化 成分 

分 类 号：O152.1[理学—数学]