Rational Group Algebras of Camina $p$-groups
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908273148428288 |
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| author | Choudhary, Ram Karan Prajapati, Sunil Kumar |
| author_facet | Choudhary, Ram Karan Prajapati, Sunil Kumar |
| contents | In this article, we present a combinatorial formula for the Wedderburn decomposition of rational group algebras of Camina $p$-groups, where $p$ is a prime. We also provide a complete set of primitive central idempotents of rational group algebras of these groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_13937 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rational Group Algebras of Camina $p$-groups Choudhary, Ram Karan Prajapati, Sunil Kumar Representation Theory Group Theory Rings and Algebras primary 20C05, secondary 20C15, 20D15 In this article, we present a combinatorial formula for the Wedderburn decomposition of rational group algebras of Camina $p$-groups, where $p$ is a prime. We also provide a complete set of primitive central idempotents of rational group algebras of these groups. |
| title | Rational Group Algebras of Camina $p$-groups |
| topic | Representation Theory Group Theory Rings and Algebras primary 20C05, secondary 20C15, 20D15 |
| url | https://arxiv.org/abs/2503.13937 |