Existentially closed fields with finite group actions
Logic
2019-05-24 v2
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.
Keywords
Cite
@article{arxiv.1604.03581,
title = {Existentially closed fields with finite group actions},
author = {Daniel Max Hoffmann and Piotr Kowalski},
journal= {arXiv preprint arXiv:1604.03581},
year = {2019}
}