Sylow 0-unipotent subgroups in groups of finite Morley rank

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dc.creatorBurdges, Jeffrey
dc.date2007-11-26
dc.date.accessioned2026-07-07T08:45:18Z
dc.date.available2026-07-07T08:45:18Z
dc.descriptionOne of the central tools in the classification of simple algebraic groups is the distinction between semisimple subgroups and unipotent subgroups. It is not a priori clear how to make this distinction for torsion-free subgroups of a group of finite Morley rank. We exploit the ``graded'' notion of 0-unipotence to develop a Sylow theory for torsion-free subgroups of a solvable group of finite Morley rank. This Sylow theory provides a robust alternative to the usual theory of Carter subgroups, and will be used in the analysis of intersections of Borel subgroups in minimal simple groups.
dc.identifierhttps://arxiv.org/abs/0711.4148
dc.identifierhttp://arxiv.org/abs/0711.4148
dc.identifierJ. Group Theory 9 (2006) 467
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142923
dc.subjectLogic
dc.subjectGroup Theory
dc.subject03C60, 20G99
dc.titleSylow 0-unipotent subgroups in groups of finite Morley rank
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