The Galois cohomology of Pythagorean fields

DOI10.1007/BF01389297zbMath0496.12017MaRDI QIDQ1170297

Bill Jacob

Publication date: 1981

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142842

zbMATH Keywords

Galois cohomologyK-theoryBrauer groupsum of squaresArason problemformally real Pythagorean fieldsquaternionic pairingtorsion-free Witt rings

Mathematics Subject Classification ID

Galois cohomology (12G05) Waring's problem and variants (11P05) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Grothendieck groups, (K)-theory and commutative rings (13D15)

Related Items (1)

Biquaternion algebras and quartic extensions

Cites Work

• On the structure of Pythagorean fields
• Cohomologische Invarianten quadratischer Formen
• Algebraic \(K\)-theory and quadratic forms. With an appendix by J. Tate
• Pfister forms and \(K\)-theory of fields
• The Graded Witt Ring and Galois Cohomology. II
• Classification of Finite Spaces of Orderings
• Quadratic Forms Over Formally Real Fields and Pythagorean Fields
• Cohomology of Group Extensions
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