• Fulltext


        Click here to view fulltext PDF

      Permanent link:

    • 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 $\Delta(G)\Delta^n(H)/\Delta^{n+1}(H)$ is given, and as a consequence the structures of $\Delta(G)/\Delta(H)$ and $\Delta^2(G)/\Delta^2(H)$ are determined. Also, the structure of $\Delta^n(G)/\Delta^n(H)$ for all $n\geq 1$ 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

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2021-2022 Indian Academy of Sciences, Bengaluru.