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

U?urlu, Pınar2021-06-162021-06-162013-050022-4049https://hdl.handle.net/11411/3790https://doi.org/10.1016/j.jpaa.2012.09.002We 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.eninfo:eu-repo/semantics/openAccessO-MinimalValued FieldsMotivic IntegrationPseudofinite groups as fixed points in simple groups of finite Morley rankArticle2-s2.0-8487141725610.1016/j.jpaa.2012.09.002Q1WOS:000314448000011