Signalizers and balance in groups of finite Morley rank

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dc.creatorBurdges, Jeffrey
dc.date2007-11-27
dc.date2008-11-28
dc.date.accessioned2026-07-07T12:04:56Z
dc.date.available2026-07-07T12:04:56Z
dc.descriptionWe show that a minimal counter example to the Cherlin-Zilber Algebraicity Conjecture for simple groups of finite Morley rank has Prufer 2-rank at most two. This article covers the signalizer functor theory and identifies the groups of Lie rank at least three; leaving the uniqueness case analysis to previous articles. This result signifies the end of the general methods used to handle large groups; hereafter each individual group PSL$_2$, PSL$_3$, PSp$_4$, and G$_2$ will require its own identification theorem.
dc.identifierhttps://arxiv.org/abs/0711.4210
dc.identifierhttp://arxiv.org/abs/0711.4210
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/208251
dc.subjectLogic
dc.subjectGroup Theory
dc.subject03C60, 20G99
dc.titleSignalizers and balance in groups of finite Morley rank
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