摘要
本文考察了pP+1阶亚交换的非正则p-群的幂结构,给出了它们是A.Mann所定义的Pi-群的充要条件.做为一个应用,我们还给出了包含一个交换的极大子群的pP+1阶亚交换的非正则群的完全分类.
In this paper we study the power structure of metabelian and irregular p-groups of orderpp+1 and give the necessary and sufficient conditions for them to be pi-groups defined by A.Mann. Moreover we give the classification of metabelian and irregular p--groups of order p'+'with a maximal subgroup which is abelian.
出处
《首都师范大学学报(自然科学版)》
1996年第3期15-20,共6页
Journal of Capital Normal University:Natural Science Edition
基金
国家自然科学基金