Quaternion fields inside Pythagorean closure

DOI10.1016/0022-4049(89)90029-7zbMath0678.12009OpenAlexW2019637103WikidataQ114215394 ScholiaQ114215394MaRDI QIDQ1123929

Mináč, Ján

Publication date: 1989

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(89)90029-7

zbMATH Keywords

formally real fieldsum of squaresPythagorian Galois group

Mathematics Subject Classification ID

Algebraic field extensions (12F05) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15)

Related Items (1)

A Note on the Quaternion Group as Galois Group

Cites Work

• Unnamed Item
• Construction de p-extensions galoisiennes d'un corps de caractéristique différente de p. (Construction of Galois p-extensions of fields with characteristic different from p)
• Quadratic forms and pro 2-groups. II: The Galois group of the Pythagorean closure of a formally real field
• Witt rings and Brauer groups under multiquadratic extensions. II
• Orthogonal representations of Galois groups, Stiefel-Whitney classes and Hasse-Witt invariants.
• Decomposition of Witt Rings
• Galois groups of orderP³

This page was built for publication: Quaternion fields inside Pythagorean closure