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Preprint Number 274
274. Bijan Afshordel Generic Automorphisms with prescribed Fixed Fields. Email: Submission date: 8 October 2010. Abstract: We address the question which structures occur as fixed structures of stable structures with a generic automorphism. Among others we give a Galois theoretic characterisation. As application we prove: Any pseudofinite field is the fixed field of some model of ACFA. Any onefree pseudodifferentially closed field of characteristic zero is the fixed field of some model of DCFA. Any onefree PAC field of finite degree of imperfection is the fixed field of some model of SCFA. Mathematics Subject Classification: 03C98 (primary), 12H10 (secondary) Keywords and phrases: model theory, difference algebra, pseudofinite field Full text: pdf.

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