具有性质P的有限p群的分类  

Classification of finite p-groups with the property P

作　　者：王萍 WANG Ping(Department of Mathematics and Computer Science,Yuncheng Advanced Normal College,Yuncheng 044000,China)

机构地区：[1]运城师范高等专科学校数学与计算机系,山西运城044000

出　　处：《高师理科学刊》2023年第11期1-4,共4页Journal of Science of Teachers＇College and University

摘　　要：设G为有限p群,若G的任意两个A_(1)子群的交是其中任一个A_(1)子群的极大子群,则称G具有性质P.在A_(3)群和非交换真子群都为二元生成的有限p群分类的基础上,对满足性质P的有限p群进行了分类.Let G is a finite p-group,if the intersection of any two 1A-subgroups is the maximal subgroup of either 1A-subgroup,thenG is said to have the property P.On the basis of the finite p-groups classification in which both 3A groups and non-commutative true subgroups are generated binarily,the finite p-groups satisfing the property P is classified.

关 键 词：A_(1)子群 极大子群 有限P群 分类 

分 类 号：O152.1[理学—数学]