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Some augmentation quotients of integral group rings

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Abstract

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.

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Authors and Affiliations

  1. School of Mathematics and Computer Applications, Thapar University, Patiala, 147 004, India

    Deepak Kumar Gumber

  2. Department of Mathematics, Kurukshetra University, Kurukshetra, 136 119, India

    Ram Karan & Indu Pal

Authors
  1. Deepak Kumar Gumber
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  2. Ram Karan
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  3. Indu Pal
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Correspondence to Deepak Kumar Gumber.

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Gumber, D.K., Karan, R. & Pal, I. Some augmentation quotients of integral group rings. Proc Math Sci 118, 537–546 (2008). https://doi.org/10.1007/s12044-008-0041-5

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  • DOI: https://doi.org/10.1007/s12044-008-0041-5

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