Skip to main content

On injective stability for K2

Part I

Part of the Lecture Notes in Mathematics book series (LNM,volume 966)

Keywords

  • Normal Form
  • General Linear Group
  • Canonical Surjective
  • Small Natural Number
  • Homology Stability

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. Bass, H.: Algebraic K-theory, Benjamin, New York, 1968.

    MATH  Google Scholar 

  2. Dennis, R.K.: Stability for K2, Proc. of the conference on Orders and Group Rings at Columbus 1972, Lect. Notes in Math. 353, Springer, Berlin, 1973, 85–94.

    Google Scholar 

  3. Dennis, R.K. and Stein, M.R.: The functor K2, Algebraic K-theory II, Lect. Notes in Math. 342, Springer, Berlin, 1973, 243–280.

    Google Scholar 

  4. Dennis, R.K. and Stein, M.R.: Injective stability for K2 of local rings, Bull. Amer. Math. Soc. 80, 1974, 1010–1013.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. Kallen, W. van der: Injective stability for K2, Algebraic K-theory, Evanston 1976, Lect. Notes in Math. 551, Springer, Berlin, 1976, 77–154.

    Google Scholar 

  6. Kallen, W. van der: Homology stability for a linear group, preprint, 1979.

    Google Scholar 

  7. Maazen, H.: Homology stability for the general linear group, thesis, Utrecht 1979.

    Google Scholar 

  8. Matsumoto, H.: Sur les sous-groupes arithmétique des groupes semi-simples déployés, Ann. Sci. Ec. Norm. Sup. 4e serie, 2(1969), 1–62.

    MATH  Google Scholar 

  9. Milnor, J.: Introduction to Algebraic K-theory, Ann. of Math. Studies 72, Princeton Univ. Press, Princeton 1971.

    MATH  Google Scholar 

  10. Stein, M.R.: Surjective stability in dimension O for K2 and related functors, Trans. A.M.S. 178 (1973), 176–191.

    Google Scholar 

  11. Stein, M.R.: Stability theorems for K1,K2 and related functors modeled on Chevalley groups, preprint 1976.

    Google Scholar 

  12. Suslin, A. and Tulenbayev, M.: A theorem on stabilization for Milnor’s K2-functor, Zap. Naucn. Sem. LOMI 64 (1976), 131–152.

    Google Scholar 

  13. Suslin, A.: Stability in algebraic K-theory, these proceedings.

    Google Scholar 

  14. Vaserstein, L.N.: On the stabilization of the general linear group over a ring, Math. USSR Sbornik 8, (1969), 383–400.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. Vaserstein, L.N.: Stabilization for classical groups over rings, Math. USSR Sbornik 10 (1970), 307–326.

    CrossRef  Google Scholar 

  16. Vaserstein, L.N.: On the stabilization of Milnor’s K2-functor, Uspehi Mat. Nauk 30, 1 (1975), 224.

    MathSciNet  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1982 Springer-Verlag

About this paper

Cite this paper

Kolster, M. (1982). On injective stability for K2 . In: Dennis, R.K. (eds) Algebraic K-Theory. Lecture Notes in Mathematics, vol 966. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062173

Download citation

  • DOI: https://doi.org/10.1007/BFb0062173

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11965-4

  • Online ISBN: 978-3-540-39553-9

  • eBook Packages: Springer Book Archive