Abstract
Notation: If F is a field, we will use multiplicative notation for the group operation on F*,and on Steinberg symbols. Otherwise, we will use additive notation for the group operation in an Abelian group. If A is an Abelian group, n an integer, and n A : A → A is multiplication by n, then we let n A = ker n A and n • A = im n A .
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Reference
MS] A. S. Merkurjev, A. A. Suslin, /C-cohomology of Severi—Brauer varieties and the norm residue homomorphism, Math. USSR Izv. 21 (1983) 307–340 (English translation)
C. Soulé, K2 et le groupe de Brauer (d’après A. S. Merkurjev et A. A. Suslin), Séminaire Bourbaki 601, Astérique 105–106, Soc. Math. France (1983).
A. S. Merkurjev, K2 of fields and the Brauer group, Contemporary Math. Vol. 55, Part II, Amer. Math. Soc. (1986).
J. S. Milne, Étale Cohomology, Princeton Math. Ser. 33, Princeton (1980).
A. A. Suslin, Algebraic K-theory and the norm-residue homomorphism, J. Soviet Math. 30 (1985) 2556–2611.
A. A. Suslin. Torsion in K2 of fields, K-Theory 1 (1987) 5–29.
J.-P. Serre, Local Fields, Grad. Texts in Math. No. 67, Springer-Verlag (1979).
J. Tate, Relations between K2 and Galois cohomology, Invent. Math. 36 (1976) 257–274.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1996 Springer Science+Business Media New York
About this chapter
Cite this chapter
Srinivas, V. (1996). The Merkurjev—Suslin Theorem. In: Algebraic K-Theory. Modern Birkhauser Classics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-4739-1_8
Download citation
DOI: https://doi.org/10.1007/978-0-8176-4739-1_8
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-4736-0
Online ISBN: 978-0-8176-4739-1
eBook Packages: Springer Book Archive