Pro-\(p\) Galois groups of algebraic extensions of \(\mathbb{Q}\)
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Publication:1356236
DOI10.1006/jnth.1997.2091zbMath0872.11046OpenAlexW2088785339MaRDI QIDQ1356236
Publication date: 8 June 1997
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jnth.1997.2091
Galois theory (11R32) Separable extensions, Galois theory (12F10) Algebraic theory of quadratic forms; Witt groups and rings (11E81)
Related Items (13)
Oriented pro-\(\ell\) groups with the Bogomolov-Positselski property ⋮ Demuškin groups, Galois modules, and the elementary type conjecture ⋮ Mild pro-\(p\) groups and the Koszulity conjectures ⋮ Right‐angled Artin pro‐p$p$ groups ⋮ Massey products in Galois cohomology and the elementary type conjecture ⋮ Profinite groups with a cyclotomic \(p\)-orientation ⋮ Koszul algebras and quadratic duals in Galois cohomology ⋮ A Hasse principle for function fields over PAC fields ⋮ 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 ⋮ Groups of \(p\)-absolute Galois type that are not absolute Galois groups
Cites Work
- Frobenius subgroups of free products of prosolvable groups
- A recursive description of the maximal pro-2 Galois group via Witt rings
- On a GL(3) analog of \(|{} \eta{} (z)|\)
- Pro-2-Demuškin groups of rank \({\aleph{}}_ 0\) as Galois groups of maximal 2-extensions of fields
- Realizing dyadic factors of elementary type Witt rings and pro-2 Galois groups
- Demuškin groups of rank \(\aleph{}_ 0\) as absolute Galois groups
- Galois groups of intersections of local fields
- Quadratic forms and profinite 2-groups
- Finitely generated pro-\(p\)-groups as Galois groups of maximal \(p\)-extensions of function fields over \(\mathbb{Q}_ q\)
- Freie Produkte pro-endlicher Gruppen und ihre Kohomologie
- Valuation theory
- On 𝑝-extensions
- Realization of finitely generated profinite groups by maximal abelian extensions of fields.
- Euklidische Körper und euklidische Hüllen von Körpern.
- Über die Gruppe der maximalen l-Erweiterung eines globalen Körpers.
- Classification of Demushkin Groups
- Demuškin groups of rank $\aleph_0$
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