• Some Augmentation Quotients of Integral Group Rings

• # Fulltext

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 $\Delta(G)\Delta^n(H)/\Delta^{n+1}(H)$ 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

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

• # Proceedings – Mathematical Sciences

Current Issue
Volume 129 | Issue 3
June 2019

• # Proceedings – Mathematical Sciences | News

© 2017-2019 Indian Academy of Sciences, Bengaluru.