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math.LO2022
Galois actions of finitely generated groups rarely have model companions
Özlem Beyarslan, Piotr Kowalski
We show that if is a finitely generated group such that its profinite completion is ``far from being projective'' (that is the kernel of the universal Frattini co…
math.LO2020
Model theory of fields with finite group scheme actions
Daniel Max Hoffmann, Piotr Kowalski
We study model theory of fields with actions of a fixed finite group scheme. We prove the existence and simplicity of a model companion of the theory of such actions, which general…
math.LO2018
Model theory of fields with free operators in positive characteristic
Özlem Beyarslan, Daniel Max Hoffmann, Moshe Kamensky +1
We give algebraic conditions about a finite algebra over a perfect field of positive characteristic, which are equivalent to the companionability of the theory of fields with "…