The division algebras and Brauer group of a strictly Henselian field

DOI10.1006/jabr.2000.8639zbMath1009.16018OpenAlexW2053162294MaRDI QIDQ5942801

Eric S. Brussel

Publication date: 24 April 2003

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.2000.8639

zbMATH Keywords

endomorphism ringsBrauer groupsautomorphism groupsindexalternating matricescentral division algebrasrow rankstensor products of symbol algebras

Mathematics Subject Classification ID

Finite-dimensional division rings (16K20) Brauer groups (algebraic aspects) (16K50) Skew fields, division rings (12E15)

Related Items

Hasse invariant for the tame Brauer group of a higher local field, Isotriviality and étale cohomology of Laurent polynomial rings, Open problems on central simple algebras., Noncyclic division algebras over fields of Brauer dimension one, A note on the existence of cyclic algebras in division algebras, Torsors, reductive group schemes and extended affine Lie algebras, Alternating forms and the Brauer group of a geometric field

Cites Work

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• Division algebras over Henselian fields.
• Problems in algebraic combinatorics
• Über die Brauer-Gruppe eines Hensel-Körpers
• On central division algebras
• Totally Ramified Valuations on Finite-Dimensional Division Algebras
• Ostrwoski's theorem for Henselian valued skew fields.
• Indecomposable division algebras