Pseudofinite groups as fixed points in simple groups of finite Morley rank

dc.contributor.authorU?urlu, Pınar
dc.date.accessioned2021-06-16T09:26:13Z
dc.date.available2021-06-16T09:26:13Z
dc.date.issued2013-05
dc.description.abstractWe prove that if the group of fixed points of a generic automorphism of a simple group of finite Morley rank is pseudofinite, then this group is an extension of a (twisted) Chevalley group over a pseudofinite field. On the way to obtain this result, we classify non-abelian definably simple pseudofinite groups of finite centralizer dimension (using the ideas of Wilson (1993) [29]). © 2012 Elsevier B.V.en_US
dc.fullTextLevelFull Texten_US
dc.identifier.doi10.1016/j.jpaa.2012.09.002
dc.identifier.issn0022-4049
dc.identifier.scopus2-s2.0-84871417256en_US
dc.identifier.urihttps://hdl.handle.net/11411/3790
dc.identifier.urihttps://doi.org/10.1016/j.jpaa.2012.09.002
dc.identifier.wosWOS:000314448000011en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.issue5en_US
dc.language.isoenen_US
dc.nationalInternationalen_US
dc.numberofauthors1en_US
dc.pages892 - 900en_US
dc.relation.ispartofJournal of Pure and Applied Algebraen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectO-Minimalen_US
dc.subjectValued Fieldsen_US
dc.subjectMotivic Integrationen_US
dc.titlePseudofinite groups as fixed points in simple groups of finite Morley rank
dc.typeArticle
dc.volume217en_US

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