Cohomological operations for the Brauer group and Witt kernels of a quartic field extension

DOI10.1142/S0219498817500815zbMath1426.11021MaRDI QIDQ5739050

Alexander S. Sivatski

Publication date: 2 June 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

Pfister formBrauer groupfield extensiondivided power operationStiefel-Whitney map

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Algebraic theory of quadratic forms; Witt groups and rings (11E81)

Related Items (1)

Certain properties of the tensor product of two Albert forms

Cites Work

• Operations in Milnor \(K\)-theory
• The Witt ring kernel for a fourth degree field extension and related problems
• Witt kernels of function field extensions
• Biquaternion algebras and quartic extensions
• Proof of Krull's intersection theorem for the Witt ring
• The trace form of a central simple algebra of degree 4.
• Similarity of Quadratic Forms and Isomorphism of Their Function Fields
• Central simple algebras of prime exponent and divided power operations
• Comparison of some field invariants
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