Publications > Preprint server > Preprint Number 645
Preprint Number 645
645. Tuna Altinel, Jeffrey Burdges, Olivier Frécon Structure of Borel subgroups in groups of finite Morley rank E-mail: Submission date: 28 October 2013. Abstract: 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 subgroups. Mathematics Subject Classification: 20F11 (primary), 03C60, 03C45 (secondary) Keywords and phrases: Minimal simple groups, Groups of finite Morley rank, Borel subgroups, Carter subgroups, Jordan Decomposition Full text HAL: pdf.
|
Last updated: March 23 2021 09:22 | Please send your corrections to: |