MODNET
Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 203

Preprint Number 203

Previous Next Preprint server


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:

Full text arXiv: pdf, ps.


Last updated: September 25 2009 09:12 Please send your corrections to: