Submission date: 24 February 2016.

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.

Mathematics Subject Classification: 03C60, 03C65, 12F10, 12L12

Keywords and phrases:

Full text arXiv 1602.07462: pdf, ps.