Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
R.C. Alperin and R.K. Dennis, K2 of quaternion algebras, J. Alg. 56(1979), 262–273
A. Bak, Le problème des sous-groupes de congruence et le problème métaplectique pour les groupes classiques de rang > 1, Comptes rendus, 292, série I (1981), 307–310
A. Bak and U. Rehmann, Le problème des sous-groupes de congruence dans SLnZ≥2 sur un corps gauche, Comptes rendus, 289, série A(1979), p. 151.
—, The congruence subgroup and metaplectic problems for SLn>1 of division algebras, J. Alg. 78 (1982)
H. Bass, K2 des corps globaux, Seminaire Bourbaki, Lec. Notes Math. 244 (1971),233–256
S. Chase and W. Waterhouse, Moore's theorem on the uniqueness of reciprocity laws, Inventiones math. 16 (1972), 267–270
A.S. Merkurjev and A.A. Suslin, K-cohomology of Severi-Brauer varieties and norm residue homomorphism, Soviet Math. Doklady (to appear)
J. Milnor, Introduction to algebraic K-theory, Ann. Math. Studies 72, Princeton University Press (1971)
U. Rehmann and U. Stuhler, On K2 of finite dimensional division algebras over arithmetical fields, Inventiones math. 50 (1978), 75–90
I. Reiner, Maximal Orders, Academic Press, New York (1975)
A.A. Suslin, Torsion in K2 of fields, LOMI preprint E-2-82
J. Tate, Symbols in arithmetic, Actes du Congrès International des Mathématiciens 1970, tome 1, 201–211, Gauthier-Villars Éditeur, Paris (1971)
__, Relations between K2 and Galois cohomology, Inventiones math. 36 (1976), 257–274
Editor information
Rights and permissions
Copyright information
© 1984 Springer-Verlag
About this paper
Cite this paper
Bak, A. (1984). A norm theorem for K2 of global fields. In: Madsen, I.H., Oliver, R.A. (eds) Algebraic Topology Aarhus 1982. Lecture Notes in Mathematics, vol 1051. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075560
Download citation
DOI: https://doi.org/10.1007/BFb0075560
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-12902-8
Online ISBN: 978-3-540-38782-4
eBook Packages: Springer Book Archive