Geometric representation in the theory of pseudo-finite fields
  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. 
\"Ozlem Beyarslan, Zo\'e Chatzidakis
math.LO