On a Problem of Karpilovsky

Abstract

Let G be a finite elementary group. Let Δn (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) = Δn(G)/Δn+1 (G) and compute the order of Qn (G).

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Correspondence to Guoping Tang.

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2000 Mathematics Subject Classification: 16S34, 20C05

Communicated by A. Bak

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Tang, G. On a Problem of Karpilovsky. Algebra Colloq. 10, 11–16 (2003). https://doi.org/10.1007/s100110300002

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Keywords:

  • integral group ring
  • augmentation ideal