Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6414989 | Journal of Algebra | 2011 | 23 Pages |
Abstract
Let G be a finite abelian group, ZG its associated integral group ring, and Î(G) its augmentation ideal. In this paper we determine an explicit basis for the consecutive quotient groups În(G)/În+1(G) for any positive integer n and thereby compute precisely each of these quotient groups. This settles completely a problem of Karpilovsky.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Shan Chang, Guoping Tang,