Linear groups of finite Morley rank
Logic
2008-11-15 v2 Group Theory
Abstract
We show that a non-algebraic simple group of finite Morley rank with a definable representation over a field has no involutions, and otherwise resembles a bad group. In particular, the modern form of the Cherlin-Zilber alebaricity conjecture hold for such groups.
Cite
@article{arxiv.0801.3958,
title = {Linear groups of finite Morley rank},
author = {Alexandre Borovik and Jeffrey Burdges},
journal= {arXiv preprint arXiv:0801.3958},
year = {2008}
}