The Bender method in groups of finite Morley rank
Abstract
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 0unipotence 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.
 Publication:

arXiv eprints
 Pub Date:
 November 2007
 arXiv:
 arXiv:0711.4152
 Bibcode:
 2007arXiv0711.4152B
 Keywords:

 Mathematics  Group Theory;
 Mathematics  Logic;
 03C60;
 20G99
 EPrint:
 J. Algebra 307 (2007) 704726