Generic Galois extensions

DOI10.1073/pnas.77.3.1250zbMath0445.12010OpenAlexW2054826999WikidataQ36358633 ScholiaQ36358633MaRDI QIDQ3889164

David J. Saltman

Publication date: 1980

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.77.3.1250

zbMATH Keywords

Grunwald-Wang theoremgeneric Galois extensionabelian Galois groupabelian local extensionconjecture of E. Noethertranscentral extension

Mathematics Subject Classification ID

Galois theory (11R32) Separable extensions, Galois theory (12F10) Cyclotomic extensions (11R18) Transcendental field extensions (12F20)

Related Items (6)

Generic Galois extensions and problems in field theory ⋮ Period and index, symbol lengths, and generic splittings in Galois cohomology ⋮ Unnamed Item ⋮ Division algebras over discrete valued fields ⋮ Rational function fields. Noether's problem and related questions ⋮ Generic polynomials

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