Ranked definably linear quasi-Frobenius groups
Group Theory
2025-06-19 v2 Logic
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.
Cite
@article{arxiv.2403.04375,
title = {Ranked definably linear quasi-Frobenius groups},
author = {Samuel Zamour},
journal= {arXiv preprint arXiv:2403.04375},
year = {2025}
}