Abelian absolute Galois groups

Moshe Jarden*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Generalizing a result of Wulf-Dieter Geyer in his thesis, we prove that if K is a finitely generated extension of transcendence degree r of a global field and A is a closed abelian subgroup of Gal(K), then rank(A) ≤ r + 1. Moreover, if char(K) = 0, then Ẑr+1 is isomorphic to a closed subgroup of Gal(K).

Original languageEnglish
JournalGlasgow Mathematical Journal
DOIs
StateAccepted/In press - 2024

Keywords

  • Absolute Galois Group
  • Henselian Fields

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