• Augmentation quotients for real representation rings of cyclic groups

• # Fulltext

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

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

• # Proceedings – Mathematical Sciences

Volume 131, 2021
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019