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arXiv · 2504.00669

On Matrix Representations of Groups of Order $p^5$ over $\mathbb{Q}$

Ram Karan Choudhary·Sunil Kumar Prajapati
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Abstract

In this article, we determine all inequivalent irreducible rational matrix representations of groups of order $p^5$, where $p$ is an odd prime. We also derive combinatorial formulations for the Wedderburn decomposition of rational group algebras of these $p$-groups, using results from their rational representations.

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BibTeXRIS

Ram Karan Choudhary, Sunil Kumar Prajapati. 2025-04-01. On Matrix Representations of Groups of Order $p^5$ over $\mathbb{Q}$. https://arxiv.org/abs/2504.00669

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