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arXiv · 1604.03581

Existentially closed fields with finite group actions

Daniel Max Hoffmann·Piotr Kowalski
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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.

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Daniel Max Hoffmann, Piotr Kowalski. 2016-04-12. Existentially closed fields with finite group actions. https://doi.org/10.1142/s0219061318500034

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