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).