Existentially closed fields with finite group actions
classification
🧮 math.LO
keywords
fieldsclosedfinitegroupactionexistentiallyactionsalgebraic
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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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