• Augmentation quotients for real representation rings of cyclic groups

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      https://www.ias.ac.in/article/fulltext/pmsc/128/04/0048

    • Keywords

       

      Cyclic group; real representation; augmentation ideal; augmentation quotient

    • Abstract

       

      Denote by $C_{m}$ the cyclic group of order $m$. Let $\mathcal{R}(C_{m})$ be its real representation ring, and $\Delta(C_{m})$ its augmentation ideal. In this paper, we give an explicit $\mathbb{Z}$-basis for the $n$-th power $\Delta^{n}(C_{m})$ and determine the isomorphism class of the $n$-th augmentation quotient $\Delta^{n}(C_{m})/\Delta^{n+1}(C_{m})$ for each positive integer $n$.

    • Author Affiliations

       

      SHAN CHANG1 HANG LIU2

      1. School of Mathematics, Hefei University of Technology, Hefei 230009, China
      2. School of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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