On the Structure of the Augmentation Quotient Group for Some Non-abelian p-groups  

作　　者：ZHAO HUI-FANG NAN JI-ZHU Du Xian-kun 

机构地区：[1]Police Technology Department,Railway Police College [2]School of Mathematical Sciences,Dalian University of Technology

出　　处：《Communications in Mathematical Research》2017年第4期289-303,共15页数学研究通讯（英文版）

基　　金：The NSF(11371343,11461047)of China

摘　　要：In this paper, we study the basis of augmentation ideals and the quotient groups of finite non-abelian p-group which has a cyclic subgroup of index p, where p is an odd prime, and k is greater than or equal to 3. A concrete basis for the augmentation ideal is obtained and then the structure of its quotient groups can be determined.In this paper, we study the basis of augmentation ideals and the quotient groups of finite non-abelian p-group which has a cyclic subgroup of index p, where p is an odd prime, and k is greater than or equal to 3. A concrete basis for the augmentation ideal is obtained and then the structure of its quotient groups can be determined.

关 键 词：integral group ring augmentation ideal quotient group P-GROUP 

分 类 号：O152.1[理学—数学]