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

作　　者：QU HaiPeng XU MingYao AN LiJian 

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

出　　处：《Science China Mathematics》2015年第4期763-780,共18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：This paper finishes the classification of three-generator finite p-groups G such that Φ(G) Z(G).This paper is a part of classification of finite p-groups with a minimal non-abelian subgroup of index p, and partly solves a problem proposed by Berkovich(2008).This paper finishes the classification of three-generator finite p-groups G such that Φ（G） Z（G）.This paper is a part of classification of finite p-groups with a minimal non-abelian subgroup of index p, and partly solves a problem proposed by Berkovich（2008）.

关 键 词：characteristic matrix At-groups CONGRUENT sub-congruent quasi-congruent 

分 类 号：O152[理学—数学]