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On a Problem of Karpilovsky
Authors:Guoping?Tang  author-information"  >  author-information__contact u-icon-before"  >  mailto:tanggp@nwpu.edu.cn"   title="  tanggp@nwpu.edu.cn"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:(1) Department of Applied Mathematics, Northwestern Polytechnical University, Xi"rsquo"an, Shaanxi, 710072, China
Abstract:Let G be a finite elementary group. Let Deltan (G) denote the nth power of the augmentation ideal Delta(G) of the integral group ring DeltaG. In this paper, we give an explicit basis of the quotient group Qn(G) = Deltan(G)/Deltan+1 (G) and compute the order of Qn (G).2000 Mathematics Subject Classification: 16S34, 20C05
Keywords:integral group ring  augmentation ideal
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