Some augmentation quotients of integral group rings
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Let G be a group and H be a subgroup of G. A complete description of Δ(G)Δn(H)/Δn + 1(H) is given, and as a consequence the structures of Δ(G)/Δ(H) and Δ2(G)/Δ2(H) are determined. Also, the structure of Δn(G)/Δn(H) for all n ≥ 1 is determined when G is a free group.
KeywordsIntegral group ring augmentation ideal augmentation quotient
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