Division algebras with common subfields

DOI10.1007/s00229-021-01315-5OpenAlexW3180475431MaRDI QIDQ2162769

David J. Saltman, Eliyahu Matzri, Daniel Krashen, Andrei S. Rapinchuk, Louis Halle Rowen

Publication date: 9 August 2022

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-021-01315-5

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Finite-dimensional division rings (16K20) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Brauer groups (algebraic aspects) (16K50) Valued fields (12J10)

Cites Work

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• Division rings and the square root of -1
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• The genus of a division algebra and the unramified Brauer group
• Quaternion Algebras with the Same Subfields
• Totally Ramified Valuations on Finite-Dimensional Division Algebras
• The Index of a Brauer Class on a Brauer-Severi Variety
• The Ordinary Quaternions Over a Pythagorean Field
• The multipliers of similitudes and the Brauer group of homogeneous varieties.
• Division algebras with infinite genus

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