Submission date: 12 April 2016

Abstract:

We study algebraic and model-theoretic properties of existentially closed fields with an action of a fixed finite group. Such fields turn out to be pseudo-algebraically closed in a rather strong sense. We place this work in a more general context of the model theory of fields with a (finite) group scheme action.

Mathematics Subject Classification: 03C60 (Primary), 03C45, 12H10 (Secondary)

Keywords and phrases: model theory, difference fields

Full text arXiv 1604.03581: pdf, ps.