【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.更多还原

【Abstract】 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.更多还原