Finitely generated pro-\(p\) absolute Galois groups over global fields

DOI10.1006/jnth.1999.2379zbMath0953.12005OpenAlexW2031630063MaRDI QIDQ1293126

Ido Efrat

Publication date: 7 December 1999

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1999.2379

zbMATH Keywords

free pro-\(p\)-productsfinitely generated pro-\(p\)-groupsclosed subgroups of absolute Galois group

Mathematics Subject Classification ID

Galois theory (11R32) Separable extensions, Galois theory (12F10) Inverse Galois theory (12F12)

Related Items (8)

Oriented pro-\(\ell\) groups with the Bogomolov-Positselski property ⋮ A recursive description of pro-\(p\) Galois groups ⋮ Demuškin groups, Galois modules, and the elementary type conjecture ⋮ Quotients of absolute Galois groups which determine the entire Galois cohomology ⋮ The Sylow subgroups of the absolute Galois group \(\mathrm{Gal}(\mathbb{Q})\) ⋮ A generalization of Marshall’s equivalence relation ⋮ Virtual retraction and Howson’s theorem in pro-$p$ groups ⋮ Galois modules appearing as \(p\)th-power classes of units of extensions of degree \(p\)

Cites Work

• Virtually free factors of pro-\(p\) groups
• Characterization of fans and hereditarily pythagorean fields
• Galois groups of intersections of local fields
• Pro-\(p\) Galois groups of algebraic extensions of \(\mathbb{Q}\)
• Free pro-\(p\) product decompositions of Galois groups
• Finitely generated pro-\(p\)-groups as Galois groups of maximal \(p\)-extensions of function fields over \(\mathbb{Q}_ q\)
• Valuation theory
• Euklidische Körper und euklidische Hüllen von Körpern.
• Classification of Demushkin Groups
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