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On Matrix Representations of Groups of Order p⁵ over ℚ

1 Apr 2025arXiv:2504.00669links table onlyarchive 2025-07-28

Ram Karan Choudhary, Sunil Kumar Prajapati

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In this article, we determine all inequivalent irreducible rational matrix representations of groups of order p⁵, 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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