Quaternion Algebras with the Same Subfields

DOI10.1007/978-1-4419-6211-9_13zbMath1226.16011arXiv0906.5137OpenAlexW2104729593MaRDI QIDQ3001256

David J. Saltman, Skip Garibaldi

Publication date: 31 May 2011

Published in: Quadratic Forms, Linear Algebraic Groups, and Cohomology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.5137

zbMATH Keywords

Brauer groupscentral simple algebrasquaternion algebrasdivision algebrassplitting fieldsmaximal subfieldsdiadic ramificationtractable fieldstransparent fields

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Quadratic forms over general fields (11E04) Finite-dimensional division rings (16K20) Brauer groups (algebraic aspects) (16K50) Galois cohomology of linear algebraic groups (11E72)

Related Items

Total linkage of quaternion algebras and Pfister forms in characteristic two, Examples of algebraic groups of type \(G_2\) having the same maximal tori, Division algebras of prime degree with infinite genus, Counting and effective rigidity in algebra and geometry, Division algebras with common subfields, SIMPLE GROUPS STABILIZING POLYNOMIALS, Distinguishing division algebras by finite splitting fields., Birational classification of fields of invariants for groups of order 128, Linear algebraic groups with good reduction, Types of linkage of quadratic Pfister forms, On the genus of a division algebra., Division algebras with infinite genus, On division algebras having the same maximal subfields., The genus of a division algebra and the unramified Brauer group

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