Finite p-groups with a minimal non-abelian subgroup of index p(Ⅱ)  

作　　者：AN LiJian LI LiLi QU HaiPeng ZHANG QinHai 

机构地区：[1]School of Mathematics and Computation Science,Shanxi Normal University [2]School of Mathematics and Computation Science,Zhanjiang Normal University

出　　处：《Science China Mathematics》2014年第4期737-753,共17页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No. 11371232);Natural Science Foundation of Shanxi Province (Grant Nos. 2012011001-3 and 2013011001-1)

摘　　要：We classify completely three-generator finite p-groups G such that Ф(G)≤Z(G)and|G′|≤p2.This paper is a part of the classification of finite p-groups with a minimal non-abelian subgroup of index p,and solve partly a problem proposed by Berkovich.We classify completely three-generator finite p-groups G such that Ф（G）≤Z（G）and｜G′｜≤p2.This paper is a part of the classification of finite p-groups with a minimal non-abelian subgroup of index p,and solve partly a problem proposed by Berkovich.

关 键 词：minimal non-abelian p-groups At-groups congruent relation sub-congruent relation 

分 类 号：O152.1[理学—数学] O151.21[理学—基础数学]