Article ID Journal Published Year Pages File Type
6414989 Journal of Algebra 2011 23 Pages PDF
Abstract

Let G be a finite abelian group, ZG its associated integral group ring, and Δ(G) its augmentation ideal. In this paper we determine an explicit basis for the consecutive quotient groups Δn(G)/Δn+1(G) for any positive integer n and thereby compute precisely each of these quotient groups. This settles completely a problem of Karpilovsky.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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