Real free groups and the absolute Galois group of \(R(t)\)

DOI10.1016/0022-4049(85)90093-3zbMath0577.12019OpenAlexW2088682330MaRDI QIDQ1065869

Moshe Jarden, Dan Haran

Publication date: 1985

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(85)90093-3

zbMATH Keywords

absolute Galois groupprofinite groupreal closed fieldsrational function fieldreal freereal projective

Mathematics Subject Classification ID

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

Related Items (11)

Them-ordered real free pro-2-group. Cohomological characterizations^∗ ⋮ On the cohomological characterization of real free pro-\(2\)-groups ⋮ The algebraic nature of the elementary theory of PRC fields ⋮ Closed subgroups of G(Q) with involutions ⋮ Covers of Klein surfaces ⋮ Koszul algebras and quadratic duals in Galois cohomology ⋮ Unnamed Item ⋮ On function fields with free absolute Galois groups ⋮ Local-global principles for Witt rings ⋮ The absolute Galois group of a Hilbertian PRC field ⋮ Galois stratification over \(e\)-fold ordered Frobenius fields

Cites Work

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• The topological space of orderings of a rational function field
• Free pro-\b C-groups
• Die Struktur der absoluten Galoisgruppe über dem Körper \(R(t)\)
• Elementare Aussagen zur Arithmetik und Galoistheorie von Funktionenkörpern.
• The Boolean Space of Orderings of a Field
• A Kurosh Subgroup Theorem for Free Pro--Products of Pro--Groups

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