On binomials and algebraic closure of some pseudofinite fields

On binomials and algebraic closure of some pseudofinite fields

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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Hauptverfasser: Gismatullin, Jakub, Tarasek, Katarzyna
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Logic
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Zusammenfassung: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.
DOI:10.48550/arxiv.2109.10130