Skip to main content

A norm theorem for K2 of global fields

Algebraic K- And L-Theory

  • 564 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 1051)

Keywords

  • Exact Sequence
  • Commutative Diagram
  • Division Algebra
  • Congruence Subgroup
  • Global Field

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R.C. Alperin and R.K. Dennis, K2 of quaternion algebras, J. Alg. 56(1979), 262–273

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. 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

    MathSciNet  MATH  Google Scholar 

  3. 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.

    MathSciNet  MATH  Google Scholar 

  4. —, The congruence subgroup and metaplectic problems for SLn>1 of division algebras, J. Alg. 78 (1982)

    Google Scholar 

  5. H. Bass, K2 des corps globaux, Seminaire Bourbaki, Lec. Notes Math. 244 (1971),233–256

    CrossRef  MathSciNet  Google Scholar 

  6. S. Chase and W. Waterhouse, Moore's theorem on the uniqueness of reciprocity laws, Inventiones math. 16 (1972), 267–270

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. A.S. Merkurjev and A.A. Suslin, K-cohomology of Severi-Brauer varieties and norm residue homomorphism, Soviet Math. Doklady (to appear)

    Google Scholar 

  8. J. Milnor, Introduction to algebraic K-theory, Ann. Math. Studies 72, Princeton University Press (1971)

    Google Scholar 

  9. U. Rehmann and U. Stuhler, On K2 of finite dimensional division algebras over arithmetical fields, Inventiones math. 50 (1978), 75–90

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. I. Reiner, Maximal Orders, Academic Press, New York (1975)

    MATH  Google Scholar 

  11. A.A. Suslin, Torsion in K2 of fields, LOMI preprint E-2-82

    Google Scholar 

  12. J. Tate, Symbols in arithmetic, Actes du Congrès International des Mathématiciens 1970, tome 1, 201–211, Gauthier-Villars Éditeur, Paris (1971)

    MATH  Google Scholar 

  13. __, Relations between K2 and Galois cohomology, Inventiones math. 36 (1976), 257–274

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints 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