On Matrix Representations of Groups of Order $p^5$ over $\mathbb{Q}$
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908293936447488 |
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| author | Choudhary, Ram Karan Prajapati, Sunil Kumar |
| author_facet | Choudhary, Ram Karan Prajapati, Sunil Kumar |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_00669 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Matrix Representations of Groups of Order $p^5$ over $\mathbb{Q}$ Choudhary, Ram Karan Prajapati, Sunil Kumar Representation Theory Group Theory 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. |
| title | On Matrix Representations of Groups of Order $p^5$ over $\mathbb{Q}$ |
| topic | Representation Theory Group Theory |
| url | https://arxiv.org/abs/2504.00669 |