English

Geometric representation in the theory of pseudo-finite fields

Logic 2016-02-26 v2

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

Cite

@article{arxiv.1602.07462,
  title  = {Geometric representation in the theory of pseudo-finite fields},
  author = {Özlem Beyarslan and Zoé Chatzidakis},
  journal= {arXiv preprint arXiv:1602.07462},
  year   = {2016}
}