Submission date: 7 March 2024

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.

Mathematics Subject Classification: 20N05, 20F11, 03C60

Keywords and phrases:

Full text arXiv 2403.04375: pdf, ps.