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arXiv · 2403.04375

Ranked definably linear quasi-Frobenius groups

Samuel Zamour
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Abstract

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.

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Samuel Zamour. 2024-03-07. Ranked definably linear quasi-Frobenius groups. https://doi.org/10.1142/s0219498826502579

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