Existentially closed fields with finite group actions

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.

Cited by in corpus (4)

• Model theoretic dynamics in Galois fashion
• Corrigendum to "Model Theory of Fields with Virtually Free Group Actions"
• PAC structures as invariants of finite group actions
• Hyperbolicity and model-complete fields