\(n\)-torsion of Brauer groups as relative Brauer groups of abelian extensions

DOI10.1016/j.jnt.2006.09.012zbMath1118.11046OpenAlexW2071363927MaRDI QIDQ884518

Adrian R. Wadsworth, Cristian D. Popescu, Jack Sonn

Publication date: 6 June 2007

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2006.09.012

zbMATH Keywords

Brauer groupsabelian extensionsrelative Brauer groups

Mathematics Subject Classification ID

Quaternion and other division algebras: arithmetic, zeta functions (11R52) Brauer groups (algebraic aspects) (16K50)

Related Items

Open problems on central simple algebras.

Cites Work

• Torsion subgroups of Brauer groups and extensions of constant local degree for global function fields
• Projective Schur groups of Henselian fields
• On the \(n\)-torsion subgroup of the Brauer group of a number field.
• Abelian extensions of global fields with constant local degree
• Relative Brauer groups and 𝑚-torsion
• Brauer-Hilbertian Fields
• Valued Fields
• Number fields
• Algebraic \(K\)-theory.
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