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同构意义下p^2阶群的完全分类
引用本文:张景哓.同构意义下p^2阶群的完全分类[J].德州学院学报,2008,24(2):15-18.
作者姓名:张景哓
作者单位:德州学院数学系,山东德州,253023
摘    要:证明了在同构意义下P^2阶群共有两类:一类是循环群,一类是可分解为两个P阶真循环子群乘积的可换群.

关 键 词:同构  P^2阶群  循环群
文章编号:1004-9444(2008)02-0015-03
修稿时间:2008年1月13日

Complete Classification of all Groups of Order p2 in the Isomorphism Sense
ZHANG Jing-xiao.Complete Classification of all Groups of Order p2 in the Isomorphism Sense[J].Journal of Dezhou University,2008,24(2):15-18.
Authors:ZHANG Jing-xiao
Institution:ZHANG Jing- xiao(Department of Mathematics, Dezhou University, Dezhou Shandong 253023, China)
Abstract:It is prove that groups of order p2 can be divided into two kinds in the isomorphism sense:(1) cycle group;(2)commutative group which can be written as a product of two cycle proper-subgroup of order p.
Keywords:isomorphism  groups of order p2  cycle group
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