On Matrix Representations of Groups of Order $p^5$ over $\mathbb{Q}$
Representation Theory
2025-04-02 v1 Group Theory
Abstract
In this article, we determine all inequivalent irreducible rational matrix representations of groups of order , where is an odd prime. We also derive combinatorial formulations for the Wedderburn decomposition of rational group algebras of these -groups, using results from their rational representations.
Keywords
Cite
@article{arxiv.2504.00669,
title = {On Matrix Representations of Groups of Order $p^5$ over $\mathbb{Q}$},
author = {Ram Karan Choudhary and Sunil Kumar Prajapati},
journal= {arXiv preprint arXiv:2504.00669},
year = {2025}
}