English

On binomials and algebraic closure of some pseudofinite fields

Logic 2021-09-30 v2

Abstract

We give a criterion when a polynomial xngx^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.

Keywords

Cite

@article{arxiv.2109.10130,
  title  = {On binomials and algebraic closure of some pseudofinite fields},
  author = {Jakub Gismatullin and Katarzyna Tarasek},
  journal= {arXiv preprint arXiv:2109.10130},
  year   = {2021}
}
R2 v1 2026-06-24T06:10:47.708Z