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arXiv · 2109.10130

On binomials and algebraic closure of some pseudofinite fields

Jakub Gismatullin·Katarzyna Tarasek
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Abstract

We give a criterion when a polynomial $x^n-g$ is irreducible over a pseudofinite field. As an application we give an explicit description of algebraic closure of some pseudofinite fields of zero characteristic.

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Jakub Gismatullin, Katarzyna Tarasek. 2021-09-21. On binomials and algebraic closure of some pseudofinite fields. https://arxiv.org/abs/2109.10130

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