Skip to main content
SpringerLink
Log in

On the homology and cohomology of congruence subgroups

  • Published:
Inventiones mathematicae Aims and scope

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Bass, H., Milnor, J., Serre, J-P.: Solution of the congruence subgroup problem forSL n (n≧3) and Sp2n (n≧2), Publ. I.H.E.S.33, 421–499 (1967), [Erratum,ibid. Publ. I.H.E.S.44, 241–244, (1974)]

    Google Scholar 

  2. Borel, A.: On the automorphisms of certain subgroups of semi-simple Lie groups. International Colloquium on Algebraic Geometry, Bombay, 1968

  3. Borel, A., Serre, J.-P.: Adjonction de coins aux espaces symétriques. Applications à la cohomologie des groupes arithmétiques. C. R. Acad. Sci. (Paris)271, 1156–1158 (1970)

    Google Scholar 

  4. Borel, A., Serre, J-P.: Corners and arithmetic groups. Comm. Math. Helv.48, 436–491 (1973)

    Google Scholar 

  5. Harder, G.: A Gauss-Bonnet formula for discrete arithmetically defined groups. Annales Sci. E.N.S.4, 409–455 (1971)

    Google Scholar 

  6. Karoubi, M.: Périodicité de laK-Théorie Hermitienne. Lecture Notes in Math.343, 301–411. Berlin-Heidelberg-New York: Springer 1973

    Google Scholar 

  7. Lee, R.: Computations of Wall groups. Topology.10, 149–176 (1971)

    Google Scholar 

  8. Lee, R., Szczarba, R. H.: On the homology of congruence subgroups andK 3(Z). Proc. Nat. Acad. Sci.72, 651–653 (1975)

    Google Scholar 

  9. Lee, R., Szczarba, R. H.: OnK 3(Z). In preparation

  10. Mennicke, J.: Finite factor groups of the unimodular group. Ann of Math81, 31–37 (1965)

    Google Scholar 

  11. Lusztig, G.: The discrete series ofGL n over a finite field. Ann. of Math. Studies, No. 81, Princeton University Press, 1974

  12. Quillen, D.: Finite generation of the groupsK i of rings of algebraic integers. Lecture Notes in Math.341, 179–198. Berlin-Heidelberg-New York: Springer 1973

    Google Scholar 

  13. Quillen, D.: Higher algebraicK-theory I. Lecture Notes in Math.341, p. 84–147. Berlin-Heidelberg-New York: Springer 1973

    Google Scholar 

  14. Kallen, W. van der: The Schur multipliers ofSL(3; Z) andSL(4; Z). Math. Ann., 47–49 (1974)

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Yale University, Yale Station, Box 2155, 06520, New Haven, Connecticut, USA

    Ronnie Lee & R. H. Szczarba

Authors
  1. Ronnie Lee
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. H. Szczarba
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

During the preparation of this paper, both authors were partially supported by grant number NSF-GP-43831 and the first author held a Sloan Fellowship.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lee, R., Szczarba, R.H. On the homology and cohomology of congruence subgroups. Invent Math 33, 15–53 (1976). https://doi.org/10.1007/BF01425503

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01425503

Keywords

Search

Navigation