p^3阶非循环子群都同构的奇阶有限p-群  

The odd order finite p-groups with isomorphic non-cyclic subgroups of order p^3

作　　者：杨栋辉[1] 刘会峰[1] 

机构地区：[1]太原科技大学,太原030024

出　　处：《西南民族大学学报（自然科学版）》2013年第6期915-918,共4页Journal of Southwest Minzu University(Natural Science Edition)

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.

关 键 词：最大类p-群 亚循环群 正则群 

分 类 号：O152[理学—数学]