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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

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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

Information

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 

References

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