Pro-Pgalois groups of function fields over local fields

DOI10.1080/00927870008827005zbMath0948.11045OpenAlexW1990206145MaRDI QIDQ4487368

Ido Efrat

Publication date: 20 November 2000

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870008827005

zbMATH Keywords

function fieldsfree productsvaluationsHasse principleprofinite groups

Mathematics Subject Classification ID

Galois theory (11S20)

Related Items (3)

Massey products in Galois cohomology and the elementary type conjecture ⋮ Koszul algebras and quadratic duals in Galois cohomology ⋮ A generalization of Marshall’s equivalence relation

Cites Work

• Immediate and purely wild extensions of valued fields
• Arithmetic on two dimensional local rings
• A recursive description of the maximal pro-2 Galois group via Witt rings
• Realizing dyadic factors of elementary type Witt rings and pro-2 Galois groups
• Pro-\(p\) Galois groups of algebraic extensions of \(\mathbb{Q}\)
• Free pro-\(p\) product decompositions of Galois groups
• Local-global principles for the Brauer group
• Finitely generated pro-\(p\)-groups as Galois groups of maximal \(p\)-extensions of function fields over \(\mathbb{Q}_ q\)
• Zur Verzweigungstheorie der allgemeinen Krullschen Bewertungen
• Galoissche Kennzeichnung p-adisch abgeschlossener Körper.
• Euklidische Körper und euklidische Hüllen von Körpern.
• Classification of Demushkin Groups

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