The group \(SK_1\) for simple algebras.

DOI10.1007/s10977-006-0021-4zbMath1117.16006OpenAlexW2052985249MaRDI QIDQ864996

Alexander S. Merkurjev

Publication date: 13 February 2007

Published in: \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10977-006-0021-4

zbMATH Keywords

Chow groupsreduced Whitehead groupsSeveri-Brauer varietiescycle modules

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Galois cohomology (12G05) Finite-dimensional division rings (16K20) (Equivariant) Chow groups and rings; motives (14C15) Stability for linear groups (19B14)

Related Items

Reduced Whitehead groups of prime exponent algebras over \(p\)-adic curves ⋮ Comparing invariants of \(\mathbf{SK}_1\) ⋮ Unitary \(\mathrm{SK}_1\) of semiramified graded and valued division algebras. ⋮ Open problems on central simple algebras.

Cites Work

• Function fields of generalized brauer-severi varieties
• Higher algebraic K-theory: I
• Invariants of algebraic groups
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