On Matrix Representations of Groups of Order p⁵ over ℚ

2025/04/01 by Ram Karan Choudhary, Choudhary, Ram Karan, Sunil Kumar Prajapati +1
Engineering · Mathematics · #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Representation Theory (math.RT) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2504.00669

openalex publication_date 2025/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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