On the Structure of Augmentation Quotient Groups
关于增广商群结构问题的讨论

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−subgroup of G. At last the structure of Qn(D2tk) for dihedral group D2tk is discussed and Qn(D2tk) ∼= Qn(D2t ) is proved.