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GENERIC AUTOMORPHISMS WITH PRESCRIBED FIXED FIELDS

Published online by Cambridge University Press:  12 December 2014

BIJAN AFSHORDEL
BIJAN AFSHORDEL*
Affiliation:
MATHEMATISCHES INSTITUT ALBERT-LUDWIGS-UNIVERSITÄT FREIBURG ECKERSTRAßE 1, D-79104 FREIBURG GERMANY
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Abstract

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 pseudo-differentially closed field of characteristic zero is the fixed field of some model of DCFA, and that any one-free PAC field of finite degree of imperfection is the fixed field of some model of SCFA.

Keywords

Model theoryalgebrageneric automorphismspseudofinite fields
Type
Articles
Information
The Journal of Symbolic Logic , Volume 79 , Issue 4 , December 2014 , pp. 985 - 1000
Copyright
Copyright © The Association for Symbolic Logic 2014 

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