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On a Problem of Karpilovsky

On a Problem of Karpilovsky Let G be a finite elementary group. Let Δ n (G) denote the nth power of the augmentation ideal Δ(G) of the integral group ring ΔG. In this paper, we give an explicit basis of the quotient group Q n (G) = Δ n (G)/Δ n+1 (G) and compute the order of Q n (G). http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Algebra Colloquium Springer Journals

On a Problem of Karpilovsky

Algebra Colloquium , Volume 10 (1) – Jan 1, 2003

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Publisher
Springer Journals
Copyright
Copyright © 2003 by AMSS CAS
Subject
Mathematics; Algebra; Algebraic Geometry
ISSN
1005-3867
eISSN
0219-1733
DOI
10.1007/s100110300002
Publisher site
See Article on Publisher Site

Abstract

Let G be a finite elementary group. Let Δ n (G) denote the nth power of the augmentation ideal Δ(G) of the integral group ring ΔG. In this paper, we give an explicit basis of the quotient group Q n (G) = Δ n (G)/Δ n+1 (G) and compute the order of Q n (G).

Journal

Algebra ColloquiumSpringer Journals

Published: Jan 1, 2003

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