Minimal polynomials of $p$-elements of finite groups of Lie type with cyclic Sylow $p$-subgroups
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910875998224384 |
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| author | Tiep, Pham Huu Zalesski, Alexandre |
| author_facet | Tiep, Pham Huu Zalesski, Alexandre |
| contents | Extending earlier results of the authors on minimal polynomials of $p$-elements of finite groups of Lie type in cross-characteristic representations, this paper focuses on the case where Sylow $p$-subgroups are cyclic and $p$ is distinct from the representation field characteristic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_11542 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Minimal polynomials of $p$-elements of finite groups of Lie type with cyclic Sylow $p$-subgroups Tiep, Pham Huu Zalesski, Alexandre Representation Theory Group Theory 20C15, 20C20, 20C33, 20G05, 20G40 Extending earlier results of the authors on minimal polynomials of $p$-elements of finite groups of Lie type in cross-characteristic representations, this paper focuses on the case where Sylow $p$-subgroups are cyclic and $p$ is distinct from the representation field characteristic. |
| title | Minimal polynomials of $p$-elements of finite groups of Lie type with cyclic Sylow $p$-subgroups |
| topic | Representation Theory Group Theory 20C15, 20C20, 20C33, 20G05, 20G40 |
| url | https://arxiv.org/abs/2503.11542 |