On the genus of a division algebra.

DOI10.1016/j.crma.2012.09.014zbMath1272.16020arXiv1509.02360OpenAlexW2003276021MaRDI QIDQ1759775

Igor A. Rapinchuk, Vladimir I. Chernousov, Andrei S. Rapinchuk

Publication date: 22 November 2012

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.02360

zbMATH Keywords

Brauer groupsgenuscentral division algebrasmaximal subfields

Mathematics Subject Classification ID

Infinite-dimensional and general division rings (16K40) Brauer groups (algebraic aspects) (16K50)

Related Items (6)

On the size of the genus of a division algebra ⋮ Division algebras of prime degree with infinite genus ⋮ Counting and effective rigidity in algebra and geometry ⋮ Division algebras with common subfields ⋮ Division algebras with infinite genus ⋮ The genus of a division algebra and the unramified Brauer group

Cites Work

• Distinguishing division algebras by finite splitting fields.
• On division algebras having the same maximal subfields.
• Weakly commensurable arithmetic groups and isospectral locally symmetric spaces
• Cohomologie étale. Seminaire de géométrie algébrique du Bois-Marie SGA 4 1/2 par P. Deligne, avec la collaboration de J. F. Boutot, A. Grothendieck, L. Illusie et J. L. Verdier
• Quaternion Algebras with the Same Subfields
• 2-torsion of the Brauer group of an elliptic curve: Generators and relations
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