On fields of algebraic numbers with bounded local degrees

DOI10.1016/j.crma.2010.12.007zbMath1225.11145OpenAlexW2053431607MaRDI QIDQ627258

Umberto Zannier, Sara Checcoli

Publication date: 21 February 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: http://etd.adm.unipi.it/theses/available/etd-03222011-104820/

zbMATH Keywords

Galois extensionuniformly bounded local degrees

Mathematics Subject Classification ID

Galois theory (11R32) Galois theory (11S20)

Related Items (7)

Small heights in large non-Abelian extensions ⋮ Tchebotarev theorems for function fields ⋮ Direct limits of adèle rings and their completions ⋮ A note on Galois groups and local degrees ⋮ Fields of algebraic numbers with bounded local degrees and their properties ⋮ On the Northcott property and other properties related to polynomial mappings ⋮ On the compositum of all degree \(d\) extensions of a number field

Cites Work

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• Finite soluble groups
• A note on heights in certain infinite extensions of \(\mathbb Q\)
• On 𝑝-extensions

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