- Published 2013

We study the structure of subgroups of minimal connected simple groups of finite Morley rank. We first establish a Jordan decomposition for a large family of minimal connected simple groups including those with a non-trivial Weyl group. We then show that definable, connected, solvable subgroups of such a simple group are the semi-direct product of their unipotent part extended by a maximal torus. This is an essential step in the proof of the main theorem which provides a precise structural description of Borel

@inproceedings{Altinel2013StructureOB,
title={Structure of Borel subgroups in simple groups of finite Morley rank},
author={Tuna Altinel and Jeffrey Burdges and Olivier Fr{\'e}con},
year={2013}
}