Θ-Hilbertianity

S. Fried, D. Haran

Research output: Contribution to journalArticlepeer-review

Abstract

We define Θ-Hilbertianity which generalizes Hilbertianity and show that the absolute Galois group of a countable Θ-Hilbertian PAC field is an appropriate analogue of a free profinite group, thus generalizing a result of Fried-Völklein-Pop.

Original languageEnglish
Pages (from-to)36-51
Number of pages16
JournalJournal of Algebra
Volume555
DOIs
StatePublished - 1 Aug 2020

Keywords

  • Absolute Galois groups
  • Field arithmetic
  • Galois theory
  • Hilbertian fields

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