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GEOMETRIC REPRESENTATION IN THE THEORY OF PSEUDO-FINITE FIELDS

Published online by Cambridge University Press:  02 May 2017

ÖZLEM BEYARSLAN  and
ZOÉ CHATZIDAKIS
ÖZLEM BEYARSLAN
Affiliation:
BOĞAZIÇI UNIVERSITY FACULTY OF ARTS AND SCIENCE DEPARTMENT OF MATHEMATICS 34342, BEBEK-ISTANBUL, TURKEYE-mail:[email protected]
ZOÉ CHATZIDAKIS
Affiliation:
CNRS (UMR 8553) - ECOLE NORMALE SUPÉRIEURE 45 RUE D’ULM 75230 PARIS CEDEX 05, FRANCEE-mail:[email protected]
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Abstract

We study the automorphism group of the algebraic closure of a substructure A of a pseudo-finite field F, or more generally, of a bounded PAC field F. This paper answers some of the questions of [1], and in particular that any finite group which is geometrically represented in a pseudo-finite field must be abelian.

Keywords

03C6003C6512F1012L12pseudo-finite fields
Type
Articles
Information
The Journal of Symbolic Logic , Volume 82 , Issue 3 , September 2017 , pp. 1132 - 1139
Copyright
Copyright © The Association for Symbolic Logic 2017 

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References

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