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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Veröffentlicht in:arXiv.org 2021-09
Hauptverfasser: Gismatullin, Jakub, Tarasek, Katarzyna
Format: Artikel
Sprache:eng
Schlagworte:
Binomials
Polynomials
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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.
ISSN:2331-8422