Jeffrey Burdges
Published 2007-11-27Version 1
Jaligot's Lemma states that the Fitting subgroups of distinct Borel subgroups do not intersect in a tame minimal simple groups of finite Morley. Such a strong result appears hopeless without tameness. Here we use the 0-unipotence theory to build a toolkit for the analysis of nonabelian intersections of Borel subgroups. As a demonstration, we show that any connected nilpotent subgroup of an intersection of Borel subgroups, in a nontame minimal simple group, must actually be abelian.
Journal: J. Algebra 307 (2007) 704--726
A generation theorem for groups of finite Morley rank
Actions of $\operatorname{Alt}(n)$ on groups of finite Morley rank without involutions
On Frattini arguments in L-groups of finite Morley rank
![QR code for arXiv:0711.4152 [math.GR]](http://oss.arxitics.com/images/favicon.svg)