Ranked definably linear quasi-Frobenius groups
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866918062362460160 |
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| author | Zamour, Samuel |
| author_facet | Zamour, Samuel |
| contents | We describe the classification of ranked definably quasi-Frobenius groups of odd type : dihedral configurations are isomorphic to PGL(2, K) for K an algebraically closed field of characteristic other than two; Frobenius groups are spilt and solvable if the characteristic of the underlying field is positive. To achieve this classification, we prove some results on ranked definably linear groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_04375 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Ranked definably linear quasi-Frobenius groups Zamour, Samuel Group Theory Logic 20N05, 20F11, 03C60 We describe the classification of ranked definably quasi-Frobenius groups of odd type : dihedral configurations are isomorphic to PGL(2, K) for K an algebraically closed field of characteristic other than two; Frobenius groups are spilt and solvable if the characteristic of the underlying field is positive. To achieve this classification, we prove some results on ranked definably linear groups. |
| title | Ranked definably linear quasi-Frobenius groups |
| topic | Group Theory Logic 20N05, 20F11, 03C60 |
| url | https://arxiv.org/abs/2403.04375 |