Galois groups and division algebras

DOI10.1016/0021-8693(76)90253-2zbMath0343.16019OpenAlexW2032394669MaRDI QIDQ1232562

Burton Fein, Murray M. Schacher

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1016/0021-8693(76)90253-2

Mathematics Subject Classification ID

Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Galois cohomology (11R34) Division rings and semisimple Artin rings (16Kxx)

Related Items (10)

Cyclic and elementary abelian subfields of Malcev-Neumann division algebras ⋮ Produits croisés mixtes: extensions de groupes et extensions d'anneaux ⋮ Noncrossed Products of Small Exponent ⋮ Embedding problems with local conditions and the admissibility of finite groups ⋮ Unnamed Item ⋮ Galois groups of global fields of finite characteristic ⋮ Cyclic algebras, complete fields, and crossed products ⋮ Non-cyclic division algebras ⋮ Generic Abelian crossed products and \(p\)-algebras ⋮ On the admissibility of finite groups over global fields of finite characteristic

Cites Work

• The generic division rings
• Cohomologie galoisienne. Cours au Collège de France, 1962--1963. 3ième éd.
• On central division algebras
• Noncrossed products in characteristic \(p\).
• Über das Einbettungsproblem der algebraischen Zahlentheorie
• On \(p\)-adic fields and rational division algebras
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