Skip to main content

On K2 and K3 of truncated polynomial rings

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 854))

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.95
Price excludes VAT (USA)
  • 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. & Murthy, P., Grothendieck groups and Picard groups of abelian group rings. Ann. Math. 86 (1967), p. 16–73.

    Article  MathSciNet  MATH  Google Scholar 

  2. Bloch, S., Algebraic K-theory and crystalline cohomology. Publ. Math. I.H.E.S. 47 (1978), p. 187–268.

    MathSciNet  MATH  Google Scholar 

  3. Cartier, P., Questions de rationalité des diviseurs en géométrie algébrique. Bull. de la Soc. Math. de France 86 (1958), p. 177–251.

    MathSciNet  MATH  Google Scholar 

  4. Coleman, R., The dilogarithm and the norm residue symbol. Preprint.

    Google Scholar 

  5. Evens, L. & Friedlander, E., Kr(ZZ / p2) and Kr(ZZ/p[ε]) for p⩾5 and r⩽4. Bull. Amer. Math. Soc. 2 (1980), p. 440–443.

    Article  MathSciNet  Google Scholar 

  6. Evens, L. & Friedlander, E., On K*(ZZ/p2ZZ) and related homology groups, preprint, Evanston 1980.

    Google Scholar 

  7. Graham, J., Continuous symbols on fields of formal power series in: Algebraic K-theory II, Lecture Notes in Math. 342, Springer Verlag.

    Google Scholar 

  8. Grothendieck, A., Eléments de géométrie algébrique IV. Publ. Math. I.H.E.S. 32 (1967).

    Google Scholar 

  9. Grothendieck, A., S.G.A. I, Lecture Notes in Math. 224, Springer Verlag.

    Google Scholar 

  10. Illusie, L., Complexe de De Rham-Witt, Asterisque 63 (1979), p. 83–112.

    MathSciNet  MATH  Google Scholar 

  11. Illusie, L., Complexe de De Rham-Witt et cohomologie cristalline, Ann. Scient. Ec. Norm. Sup. 12 (1979), p. 501–661.

    MathSciNet  MATH  Google Scholar 

  12. Van der Kallen, W., Sur le K2 des nombres duaux. C.R. Acad. Sc. Paris t. 273, 1971, Serie A, p. 1204–1207.

    MATH  Google Scholar 

  13. Keune, F., The relativization of K2. J. of Alg. 54 (1978), p. 159–177.

    Article  MathSciNet  MATH  Google Scholar 

  14. Keune, F., On the equivalence of two higher algebraic K-theories. Preprint, Nijmegen 1979.

    Google Scholar 

  15. Lazard, M., Commutative formal groups. Lecture Notes in Math. 443, Springer Verlag.

    Google Scholar 

  16. Maazen, H. & Stienstra, J., A presentation for K2 of split radical pairs. J. of pure and applied alg. 10 (1977), p. 271–294.

    Article  MathSciNet  MATH  Google Scholar 

  17. Milnor, J., Introduction to algebraic K-theory. Annals of Math. Study 72, Princeton Univ. Press.

    Google Scholar 

  18. Quillen, D., Higher algebraic K-theory I, in: Algebraic K-theory I, Lecture Notes in Math. 341, Springer Verlag.

    Google Scholar 

  19. Roberts, L. & Geller, S., K2 of some truncated polynomial rings, in: Ring theory Waterloo 1978, Lecture Notes in Math. 734, Springer Verlag.

    Google Scholar 

  20. Seshadri, C., L'opération de Cartier. Applications, Séminaire C. Chevalley 1958/1959, Ec. Norm. Sup.

    Google Scholar 

  21. Snaith, V., in preparation.

    Google Scholar 

  22. Soulé, C., Rational K-theory of the dual numbers of a ring of algebraic integers, preprint.

    Google Scholar 

  23. Stienstra, J., Deformations of the second Chow group, a K-theoretic approach; thesis, Utrecht 1978.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Eric M. Friedlander Michael R. Stein

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Springer-Verlag

About this paper

Cite this paper

Stienstra, J. (1981). On K2 and K3 of truncated polynomial rings. In: Friedlander, E.M., Stein, M.R. (eds) Algebraic K-Theory Evanston 1980. Lecture Notes in Mathematics, vol 854. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089532

Download citation

  • DOI: https://doi.org/10.1007/BFb0089532

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10698-2

  • Online ISBN: 978-3-540-38646-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics