A recursive description of the maximal pro-2 Galois group via Witt rings

DOI10.1007/BF01215654zbMath0663.12018OpenAlexW2082870040MaRDI QIDQ1114771

Bill Jacob, Roger Ware

Publication date: 1989

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

Full work available at URL: https://eudml.org/doc/174016

zbMATH Keywords

inverse problem of Galois theoryelementary type Witt ringmaximal 2-extension of a field

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Separable extensions, Galois theory (12F10) Galois theory (11S20) General binary quadratic forms (11E16) Quadratic forms over local rings and fields (11E08)

Related Items (26)

A recursive description of pro-\(p\) Galois groups ⋮ Detecting fast solvability of equations via small powerful Galois groups ⋮ Pro-\(p\) Galois groups of algebraic extensions of \(\mathbb{Q}\) ⋮ Demuškin groups, Galois modules, and the elementary type conjecture ⋮ Enhanced Koszul properties in Galois cohomology ⋮ Massey products in Galois cohomology and the elementary type conjecture ⋮ Profinite groups with a cyclotomic \(p\)-orientation ⋮ Witt rings and almost free pro-2-groups ⋮ The Kummerian property and maximal pro-\(p\) Galois groups ⋮ Koszul algebras and quadratic duals in Galois cohomology ⋮ Quadratic forms over dyadic valued fields. II: Relative rigidity and Galois cohomology ⋮ Pro-2-Demuškin groups of rank \({\aleph{}}_ 0\) as Galois groups of maximal 2-extensions of fields ⋮ Realizing dyadic factors of elementary type Witt rings and pro-2 Galois groups ⋮ Triple Massey products and Galois theory ⋮ The kernel unipotent conjecture and the vanishing of Massey products for odd rigid fields ⋮ A Hasse principle for function fields over PAC fields ⋮ Quadratic Forms ⋮ A Note on the Quaternion Group as Galois Group ⋮ Galois module structure of Galois cohomology and partial Euler-Poincaré characteristics ⋮ A generalization of Marshall’s equivalence relation ⋮ Semiorderings and Witt rings ⋮ Finitely generated pro-\(p\) Galois groups of \(p\)-Henselian fields ⋮ Pro-Pgalois groups of function fields over local fields ⋮ A characterization of C-fields via Galois groups ⋮ Local-global principles for Witt rings ⋮ On Galois groups over Pythagorean and semi-real closed fields

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• Freie Produkte pro-endlicher Gruppen und ihre Kohomologie
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• A New Construction of Noncrossed Product Algebras
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• Classification of Demushkin Groups

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