摘要
应用亚循环p-群与正则p-群等p-群相关知识,给出p3阶非循环子群都同构的奇阶有限p-群的类型为初等交换p-群或亚循环p-群.
This paper studies the finite p-groups G, where p is odd prime, G has the isomorphic non-cyclic subgroups of the order p3, and proves that the type of the p-groups is either elementary Abelian p-groups or metacyclic p-groups, by using the knowledge about metacyclic p-groups and regular p-groups.
出处
《西南民族大学学报（自然科学版）》
CAS
2013年第6期915-918,共4页
Journal of Southwest Minzu University(Natural Science Edition)
关键词
最大类p-群
亚循环群
正则群
metacyclic p-group
regular p-group
isomorphism
