Finitely generated pro-\(p\)-groups as Galois groups of maximal \(p\)-extensions of function fields over \(\mathbb{Q}_ q\)

DOI10.1007/BF02568303zbMath0857.12001OpenAlexW2067859264MaRDI QIDQ1922565

Alexander Prestel, Christian U. Jensen

Publication date: 11 March 1997

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156191

zbMATH Keywords

Galois groupstranscendence degree onemaximal abelian \(p\)-extension\(q\)-adically closed fieldfinitely generated abelian pro-\(p\)-groups

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Inverse Galois theory (12F12)

Related Items (6)

Pro-\(p\) Galois groups of algebraic extensions of \(\mathbb{Q}\) ⋮ A generalization of Marshall’s equivalence relation ⋮ Finitely generated pro-\(p\) absolute Galois groups over global fields ⋮ Finitely generated pro-\(p\) Galois groups of \(p\)-Henselian fields ⋮ Pro-Pgalois groups of function fields over local fields ⋮ Relative Brauer group and pro-p Galois group of pre-p-henselian fields

Cites Work

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• On finite intersections of Henselian valued fields
• Generic Galois extensions and problems in field theory
• Galois groups of intersections of local fields
• On Grothendieck's conjecture of birational anabelian geometry
• Freie Produkte pro-endlicher Gruppen und ihre Kohomologie
• Galoissche Kennzeichnung p-adisch abgeschlossener Körper.
• Realization of finitely generated profinite groups by maximal abelian extensions of fields.
• Profinite Groups, Arithmetic, and Geometry. (AM-67)

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