%0 Journal Article
%T On the Structure of Augmentation Quotient Groups<br>关于增广商群结构问题的讨论
%A ZHAO Hong-Mei
%A TANG Guo-Ping
%A <br>赵红梅
%A 唐国平
%J 中国科学院研究生院学报
%D 2006
%I 
%X Let G be a finite group, ZG its integral group ring and 
n(G) the nth power of the augmentation ideal 
(G), denote Qn(G) = 
n(G)/
n+1(G) the augmentation quotient groups of G. In this paper we give a set of generators for 
n(G) related to the Sylow p&#8722;subgroup of G. At last the structure of Qn(D2tk) for dihedral group D2tk is discussed and Qn(D2tk) &#8764;= Qn(D2t ) is proved.
%K integral group ring
%K augmentation quotient group
%K dihedral group<br>整群环
%K 增广商群
%K 二面体群
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=B5EDD921F3D863E289B22F36E70174A7007B5F5E43D63598017D41BB67247657&cid=B47B31F6349F979B&jid=67CDFDECD959936E166E0F72DE972847&aid=DBEC6016F325AE8B&yid=37904DC365DD7266&vid=EA389574707BDED3&iid=94C357A881DFC066&sid=0A8675156EB60B87&eid=1D5555D0B4345CA8&journal_id=1002-1175&journal_name=中国科学院研究生院学报&referenced_num=0&reference_num=7