Special forms of two symbols are division algebras

DOI10.1007/s002290200257zbMath1008.16019OpenAlexW1998388488MaRDI QIDQ697405

Bill Jacob, Roberto Aravire

Publication date: 17 September 2002

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

Full work available at URL: https://doi.org/10.1007/s002290200257

zbMATH Keywords

tensor productsBrauer groupsvaluationscentral simple algebrasdivision algebrassymbol algebrasSchur indicesvalued fieldsdifferential modulesmaximally complete fieldsspecial forms of symbols

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Finite-dimensional division rings (16K20) Brauer groups (algebraic aspects) (16K50) General valuation theory for fields (12J20)

Related Items

Indecomposable \(p\)-algebras and Galois subfields in generic Abelian crossed products. ⋮ Cohomological kernels of non-normal extensions in characteristic two and indecomposable division algebras of index eight