Unipotence in positive characteristic for groups of finite Morley rank

Abstract

: In this article we define a new form of unipotence in groups of finite Morley rank which extends Burdges unipotence to any characteristic. In particular, we show that every connected solvable group of finite Morley rank G has a definable connected subgroup H whose derived subgroup H ′ is a good unipotent subgroup of finite Morley rank