The Bender method in groups of finite Morley rank

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dc.creatorBurdges, Jeffrey
dc.date2007-11-27
dc.date.accessioned2026-07-07T08:45:18Z
dc.date.available2026-07-07T08:45:18Z
dc.descriptionJaligot'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.
dc.identifierhttps://arxiv.org/abs/0711.4152
dc.identifierhttp://arxiv.org/abs/0711.4152
dc.identifierJ. Algebra 307 (2007) 704--726
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142924
dc.subjectGroup Theory
dc.subjectLogic
dc.subject03C60, 20G99
dc.titleThe Bender method in groups of finite Morley rank
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