2016/04/30 by Daniel Max Hoffmann, Piotr Kowalski
Mathematics · #Action (physics) #Advanced Topology and Set Theory #Algebra over a field #Algebraic Geometry and Number Theory #Algebraically closed field #Context (archaeology) #Field (mathematics) #Finite group #Group (periodic table) #Group action #Group theory #Homotopy and Cohomology in Algebraic Topology #Mathematical analysis #Mathematics #Pure mathematics #Scheme (mathematics) #math.LO #msc:03C45 #msc:03C60 #msc:12H10
paper · pdf · doi:10.1142/s0219061318500034
arxiv created 2017/10/30 · openalex publication_date 2017/11/24 · arxiv updated 2019/05/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.