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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/118/04/0537-0546

    • Keywords

       

      Integral group ring; augmentation ideal; augmentation quotient.

    • Abstract

       

      Let 𝐺 be a group and 𝐻 be a subgroup of 𝐺. A complete description of $𝛥(G)𝛥^n(H)/𝛥^{n+1}(H)$ is given, and as a consequence the structures of 𝛥(𝐺)/𝛥(𝐻) and $𝛥^2(G)/𝛥^2(H)$ are determined. Also, the structure of $𝛥^n(G)/𝛥^n(H)$ for all 𝑛 ≥ 1 is determined when 𝐺 is a free group.

    • Author Affiliations

       

      Deepak Kumar Gumber1 Ram Karan2 Indu Pal2

      1. School of Mathematics and Computer Applications, Thapar University, Patiala 147 004, India
      2. Department of Mathematics, Kurukshetra University, Kurukshetra 136 119, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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