An arithmetic obstruction to division algebra decomposability

DOI10.1090/S0002-9939-00-05296-5zbMath0949.16016OpenAlexW2150198747MaRDI QIDQ4955823

Eric S. Brussel

Publication date: 22 May 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05296-5

zbMATH Keywords

Brauer groupscyclotomic extensionsdivision algebrasdecomposabilityHenselian fieldsfields of iterated power series

Mathematics Subject Classification ID

Finite-dimensional division rings (16K20) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Brauer groups (algebraic aspects) (16K50) Skew fields, division rings (12E15)

Related Items (4)

FINITE CYCLIC TAME EXTENSIONS OF k_p((t)) ⋮ Indecomposable \(p\)-algebras and Galois subfields in generic Abelian crossed products. ⋮ Open problems on central simple algebras. ⋮ Bicyclic algebras of prime exponent over function fields

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