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Preprint Number 203
203. Özlem Beyarslan, Ehud Hrushovski On algebraic closure in pseudofinite fields E-mail: Submission date: 21 September 2009. Abstract: We study the automorphism group of the algebraic closure of a substructure A of a pseudo-finite field F. We show that the behavior of this group, even when A is large, depends essentially on the roots of unity in F. For almost all completions of the theory of pseudo-finite fields we show that algebraic closure agrees with definable closure, as soon as A contains the relative algebraic closure of the prime field. Mathematics Subject Classification: Keywords and phrases: |
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