Formally real fields, pythagorean fields, C-fields and W-groups

DOI10.1007/BF02571260zbMath0692.12005OpenAlexW2016004252WikidataQ114233797 ScholiaQ114233797MaRDI QIDQ583279

Michel Spira, Mináč, Ján

Publication date: 1990

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174192

zbMATH Keywords

Witt ringformally real fieldinvolutions in Galois groupsorderings of fieldspythagorean fieldsrelative real closuresuperpythagorean fields

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Ordered fields (12J15) Forms over real fields (11E10)

Related Items (10)

Dimensions of Zassenhaus filtration subquotients of some pro-\(p\)-groups ⋮ Galois groups and cohomological functors ⋮ On the cohomology of Galois groups determined by Witt rings ⋮ Quotients of absolute Galois groups which determine the entire Galois cohomology ⋮ Pro-2-Demuškin groups of rank \({\aleph{}}_ 0\) as Galois groups of maximal 2-extensions of fields ⋮ Triple Massey products and Galois theory ⋮ Field theory and the cohomology of some Galois groups ⋮ The kernel unipotent conjecture and the vanishing of Massey products for odd rigid fields ⋮ W-groups and values of binary forms ⋮ A characterization of C-fields via Galois groups

Cites Work

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• Pythagorean fields and the Kaplansky radical
• When are Witt rings group rings? II
• Orthogonal representations of Galois groups, Stiefel-Whitney classes and Hasse-Witt invariants.
• Euklidische Körper und euklidische Hüllen von Körpern.
• Quadratic Forms Over Formally Real Fields and Pythagorean Fields

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