Quadratic forms and pro 2-groups. II: The Galois group of the Pythagorean closure of a formally real field

DOI10.1016/0022-4049(83)90042-7zbMath0518.10024OpenAlexW2013853026WikidataQ114215414 ScholiaQ114215414MaRDI QIDQ1053730

Roger Ware

Publication date: 1983

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(83)90042-7

zbMATH Keywords

Galois groupquadratic formsAbelian groupformally real fieldpro 2-groupsPythagorean closurestructure of torsion subgroup of Witt ring

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Separable extensions, Galois theory (12F10) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Limits, profinite groups (20E18)

Related Items (8)

Them-ordered real free pro-2-group. Cohomological characterizations^∗ ⋮ A recursive description of the maximal pro-2 Galois group via Witt rings ⋮ Quaternion fields inside Pythagorean closure ⋮ Witt rings and almost free pro-2-groups ⋮ Totally real rigid elements and F_π-henselian valuation rings ⋮ Quadratic forms over dyadic valued fields. II: Relative rigidity and Galois cohomology ⋮ A Note on the Quaternion Group as Galois Group ⋮ Automorphisms of pythagorean fields and their witt rings

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