Free product decomposltions of galois groups over pythagorean fields

DOI10.1080/00927879308824813zbMath0799.12001OpenAlexW2000026855MaRDI QIDQ4275277

Ido Efrat

Publication date: 22 November 1994

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879308824813

zbMATH Keywords

decomposition theorempythagorean fieldsmaximal pro-2 Galois groupfan closureMarshall-equivalence classes

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Representations of groups as automorphism groups of algebraic systems (20F29) Ordered fields (12J15)

Related Items (1)

A generalization of Marshall’s equivalence relation

Cites Work

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• Lectures on formally real fields
• Stability in Witt rings and abelian subgroups of pro-2-Galois groups
• On the structure of Pythagorean fields
• Characterization of fans and hereditarily pythagorean fields
• Subgroups of free pro-p-products
• On Closed Subgroups of Free Products of Profinite Groups
• Spaces of Orderings IV

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