On the cohomological characterization of real free pro-\(2\)-groups

DOI10.1007/BF02567821zbMath0849.12012OpenAlexW2012267326MaRDI QIDQ1911217

Antonio José Engler

Publication date: 17 November 1996

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

Full work available at URL: https://eudml.org/doc/156126

zbMATH Keywords

Galois groupsformally real fieldHasse invariantcohomological characterizationfundamental ideal of the Witt ringreal free pro-2-group

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Galois cohomology (12G05) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15)

Related Items (1)

Cyclic extensions of free pro-\(p\) groups

Cites Work

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• Real free groups and the absolute Galois group of \(R(t)\)
• Cohomologische Invarianten quadratischer Formen
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• Quadratic forms and profinite 2-groups
• On the cohomological dimension of Artin-Schreier structures
• On some Hasse principles over formally real fields
• Sur la dimension cohomologique des groupes profinis
• Quadratic forms and Galois cohomology
• The absolute Galois group of a pseudo p-adically closed field.
• Remarks on the Pythagoras and Hasse number of real fields.
• Them-ordered real free pro-2-group. Cohomological characterizations^∗
• Profinite Groups, Arithmetic, and Geometry. (AM-67)
• Quadratic Forms Over Formally Real Fields and Pythagorean Fields

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