Brauer groups of fields algebraic over Q

DOI10.1016/0021-8693(76)90163-0zbMath0344.12004OpenAlexW1965170087MaRDI QIDQ1232436

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)90163-0

Mathematics Subject Classification ID

Quaternion and other division algebras: arithmetic, zeta functions (11R52) Galois cohomology (11R34)

Related Items (7)

Brauer groups are not characterized by Ulm invariants ⋮ Fields of dimension one algebraic over a global or local field need not be of type \(C_1\) ⋮ Brauer groups of fields ⋮ Unnamed Item ⋮ Open problems on central simple algebras. ⋮ Ulm invariants of the Brauer group of a field ⋮ Divisible groups that are brauer groups^∗

Cites Work

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• Finite subgroups occuring in finite-dimensional division algebras
• Solutions of pure equations in rational division algebras. I
• Embedding finite groups in rational division algebras. I
• Solutions of pure equations in rational division algebras. II
• Embedding finite groups in rational division algebras. III
• Die algebraische Struktur des Gruppenringes einer endlichen Gruppe über einem Zahlkörper.

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