English

Hilbertian fields and Hilbert's irreducibility theorem

Group Theory 2018-10-01 v1

Abstract

Hilbert's irreducibility theorem plays an important role in inverse Galois theory. In this article we introduce Hilbertian fields and present a clear detailed proof of Hilbert's irreducibility theorem in the context of these fields.

Keywords

Cite

@article{arxiv.1809.10977,
  title  = {Hilbertian fields and Hilbert's irreducibility theorem},
  author = {Rodney Coleman and Laurent Zwald},
  journal= {arXiv preprint arXiv:1809.10977},
  year   = {2018}
}
R2 v1 2026-06-23T04:21:54.471Z