On the First Galois Cohomology Group of the Algebraic Group SL1(D)

DOI10.1080/00927870701715696zbMath1145.16007OpenAlexW2090882434MaRDI QIDQ5456492

Roozbeh Hazrat

Publication date: 8 April 2008

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

Full work available at URL: https://doi.org/10.1080/00927870701715696

zbMATH Keywords

central simple algebrasreduced \(K\)-theoryvaluation theoryGalois cohomology groupsreduced norms

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Galois cohomology (12G05) Whitehead groups and (K_1) (19B99) Finite-dimensional division rings (16K20)

Related Items (2)

A Criterion for the Triviality ofG(D) and Its Applications to the Multiplicative Structure ofD ⋮ \(\text{SK}_1\) of Azumaya algebras over Hensel pairs.

Cites Work

• Unnamed Item
• Division algebras over Henselian fields.
• The Henselization of a valued division algebra
• Square class groups and Witt rings of central simple algebras
• HENSELIAN VALUATIONS OF DIVISION RINGS AND THE GROUPSK₁
• Higher algebraic K-theory: I

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