Witt rings and almost free pro-2-groups

DOI10.1016/0021-8693(90)90136-CzbMath0706.11022MaRDI QIDQ919025

Roger Ware

Publication date: 1990

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

zbMATH Keywords

Witt ringfundamental idealreduced Witt ringalmost free pro-2-groupsformally real quasi-pythagorean field

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Limits, profinite groups (20E18)

Related Items (1)

Local-global principles for Witt rings

Cites Work

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• Stability in Witt rings and abelian subgroups of pro-2-Galois groups
• Kaplansky's radical and Hilbert theorem 90. II
• Quadratic forms and pro 2-groups. II: The Galois group of the Pythagorean closure of a formally real field
• Galois groups of maximal 2-extensions
• Rigid elements, valuations, and realization of Witt rings
• A recursive description of the maximal pro-2 Galois group via Witt rings
• On the structure of Pythagorean fields
• Classification theorems for quadratic forms over fields
• Existence of SAP extension fields
• Quadratic forms and profinite 2-groups
• On some Hasse principles over formally real fields
• Quadratic forms and Galois cohomology
• A subgroup theorem for free products of pro-finite groups
• The Boolean Space of Orderings of a Field
• Euklidische Körper und euklidische Hüllen von Körpern.
• Fröhlich's local quadratic forms.
• Quadratic Forms Over Formally Real Fields and Pythagorean Fields

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