GENERIC AUTOMORPHISMS WITH PRESCRIBED FIXED FIELDS.

This article addresses the question which structures occur as fixed structures of stable structures with a generic automorphism. In particular we give a Galois theoretic characterization. Furthermore, we prove that any pseudofinite field is the fixed field of some model of ACFA, any one-free pseudodifferentially closed field of characteristic zero is the fixed field of some model of DCF A. and that any one-free PAC field of finite degree of imperfection is the fixed field of some model of SCFA. [ABSTRACT FROM AUTHOR]