Quadratic forms and profinite 2-groups

DOI10.1016/0021-8693(79)90202-3zbMath0412.10010OpenAlexW2009544728MaRDI QIDQ1260122

Roger Ware

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0021-8693(79)90202-3

zbMATH Keywords

Galois groupquadratic formsGrothendieck and Witt ringsprofinite 2-groupsquadratic closure

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Separable extensions, Galois theory (12F10) Limits, profinite groups (20E18)

Related Items (20)

Henselian valued quasi-local fields with totally indivisible value groups ⋮ Them-ordered real free pro-2-group. Cohomological characterizations^∗ ⋮ ON THE GALOIS COHOMOLOGICAL DIMENSIONS OF STABLE FIELDS WITH HENSELIAN VALUATIONS ⋮ Formally real fields with a simple description of the absolute Galois group ⋮ Pro-\(p\) Galois groups of algebraic extensions of \(\mathbb{Q}\) ⋮ On the cohomological characterization of real free pro-\(2\)-groups ⋮ A recursive description of the maximal pro-2 Galois group via Witt rings ⋮ On Brauer \(p\)-dimensions and absolute Brauer \(p\)-dimensions of Henselian fields ⋮ On the structure of Pythagorean fields ⋮ Witt rings and almost free pro-2-groups ⋮ Quadratic forms over dyadic valued fields. II: Relative rigidity and Galois cohomology ⋮ On the residue fields of Henselian valued stable fields ⋮ Automorphisms of pythagorean fields and their witt rings ⋮ Finitely generated pro-\(p\) Galois groups of \(p\)-Henselian fields ⋮ Quadratic forms and pro 2-groups. II: The Galois group of the Pythagorean closure of a formally real field ⋮ Digging holes in algebraic closures à la Artin. I ⋮ A characterization of C-fields via Galois groups ⋮ Galois groups of maximal 2-extensions ⋮ Local-global principles for Witt rings ⋮ Quadratic forms and pro-2-groups. III. Rigid elements and semidirect products

Cites Work

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• Quadratic forms under algebraic extensions
• When are Witt rings group rings? II
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• On some Hasse principles over formally real fields
• The Witt group and the equivalence of fields with respect to quadratic forms
• Non-real fields \(k\) and infinite dimensional \(k\)-vectorspaces. (Quadratic forms and linear topologies. II)
• Quadratic forms and Galois cohomology
• Quadratic forms and the u-invariant. I
• Quadratic forms and the u-invariant
• Quadratic Forms Over Formally Real Fields and Pythagorean Fields

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