Skip to main content
Log in

Explizite Präsentation von Chevalleygruppen über ℤ

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

Literatur

  1. Behr, H.: Eine endliche Präsentation der symplektischen GruppeSp 4(ℤ). Math. Z.141, 47–56 (1975)

    Google Scholar 

  2. Borel, A.: Arithmetic properties of algebraic groups. In: Proceedings of the International Congress of Mathematicians (Stockholm 1962), pp. 10–22. Djursholm: Institut Mittag-Leffler 1963

    Google Scholar 

  3. Carter, R. W.: Simple groups of Lie type. New York-London: Wiley 1972

    Google Scholar 

  4. Cohn, P.M.: A presentation ofSL 2 for Euclidean imaginary quadratic number fields. Mathematika, London15, 156–163 (1968)

    Google Scholar 

  5. Dennis, R.K., Stein, M.R.:K 2 of discrete valuation rings (preprint)

  6. Humphreys, J.E.: Variations on Milnor's computation ofK 2(ℤ). In: AlgebraicK-Theory II (Seattle 1972), Lecture Notes342, pp. 304–308. Berlin-Heidelberg-New York: Springer 1972

    Google Scholar 

  7. Hurrelbrink, J., Rehmann, U.: Eine endliche Präsentation der GruppeG 2(ℤ) Math. Z.141, 243–251 (1975)

    Google Scholar 

  8. Klingen, H.: Charakterisierung der Siegelschen Modulgruppe durch ein endliches System definierender Relationen. Math. Ann.144, 64–82 (1961)

    Google Scholar 

  9. Magnus, W.: Übern-dimensionale Gittertransformationen. Acta math.64, 353–367 (1934)

    Google Scholar 

  10. Matsumoto, H.: Sur les sous-groupes arithmétiques des groupes semi-simples déployés. Ann. sci. École norm. sup. IV. Sér.2, 1–62 (1969)

    Google Scholar 

  11. Milnor, J.: Introduction to algebraicK-theory Princeton: University Press 1971

    Google Scholar 

  12. Ragunathan, M.S.: A note on quotients of real algebraic groups by arithmetic subgroups. Inventiones math.4, 318–335 (1968)

    Google Scholar 

  13. Serre, J.P.: Groupes discrets. Collège de France Vorlesungsausarbeitung 1968–1969

  14. Solomon, L.: The Steinberg character of a finite group withBN-pair. In: Theory of finite groups, pp. 213–221. New York-Amsterdam: W. A. Benjamin 1969

    Google Scholar 

  15. Soulé, C.: Groupes opérant sur un complexe simplicial avec domaine fondamental. C. r. Acad. Sci., Paris, Sér. A276, 607–609 (1973)

    Google Scholar 

  16. Spanier, E.: Algebraic topology. New York-San Francisco-St. Louis: McGraw-Hill 1966

    Google Scholar 

  17. Stein, M.R.: Generators, relations and coverings of Chevalley groups over commutative rings. Amer. J. Math.93, 965–1004 (1971)

    Google Scholar 

  18. Steinberg, R.: Lectures on Chevalley groups. New Haven: Yale University 1967

    Google Scholar 

  19. Swan, R.: Generators and relations for certain special linear groups. Bull. Amer. math. Soc.74, 576–581 (1968)

    Google Scholar 

  20. Wardlaw, W.P.: Defining relations for certain integrally parametrized Chevalley groups. Pacific J. Math.40, 235–250 (1972)

    Google Scholar 

  21. Tits, J.: Buildings of spherical type and finiteBN pairs. Lecture Notes in Mathematics No. 386. Berlin-Heidelberg-New York: Springer 1974

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Behr, H. Explizite Präsentation von Chevalleygruppen über ℤ. Math Z 141, 235–241 (1975). https://doi.org/10.1007/BF01247309

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01247309

Navigation