A New Trichotomy Theorem

Simple item page
dc.creatorBorovik, Alexandre
dc.creatorBurdges, Jeffrey
dc.date2007-11-27
dc.date.accessioned2026-07-07T08:45:20Z
dc.date.available2026-07-07T08:45:20Z
dc.descriptionWe show that a minimal counter example to the Cherlin-Zilber Algebraicity Conjecture for simple groups of finite Morley rank has normal 2-rank at most two, which is a tameness free version of Borovik's original trichotomy theorem. This result serves as a bridge by showing that there are no groups found strictly between the generic and quasithin cases, i.e. between groups of Lie rank at least three, and groups of Lie rank one and two. Again this result depends upon previous work for the uniqueness case analysis.
dc.identifierhttps://arxiv.org/abs/0711.4169
dc.identifierhttp://arxiv.org/abs/0711.4169
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142931
dc.subjectGroup Theory
dc.subjectLogic
dc.subject03C60, 20G99
dc.titleA New Trichotomy Theorem
dc.typetext

Files

Collections

arXiv