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On the cuspidal cohomology of the Bianchi modular groups

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References

  1. Baker, M.: Ramified primes and the homology of the Bianchi groups. IHES preprint (1982)

  2. Borel, A., Serre, J.-P.: Théorèmes de finitude en cohomologie galoisienne. Comment. Math. Helv.39, 111–164 (1964)

    Google Scholar 

  3. Grunewald, F., Schwermer, J.: Arithmetic quotients of hyperbolic 3-space, cusp forms and link complements. Duke Math. J.48, 351–358 (1981)

    Google Scholar 

  4. Grunewald, F., Schwermer, J.: A nonvanishing theorem for the cuspidal cohomology ofSL 2over imaginary quadratic integers. Math. Ann.258, 183–200 (1981)

    Google Scholar 

  5. Harder, G.: On the cohomology ofSL 2(\(\mathcal{O}\)). Lie groups and their representations. Proc. of the summer school on group repres. pp. 139–150. London: Hilger 1975

    Google Scholar 

  6. Hecke, E.: Vorlesungen über die Theorie der algebraischen Zahlen. New York: Chelsea 1970

    Google Scholar 

  7. Helgason, S.: Differential geometry, Lie groups, and symmetric spaces. New York San Francisco London: Academic Press 1978

    Google Scholar 

  8. Mennicke, J.L., Grunewald, F.J.: Some 3-manifolds arising fromPSL 2(ℤ[i]). Arch. Math.35, 275–291 (1980)

    Google Scholar 

  9. Narkiewicz, W.: Elementary and analytic theory of algebraic numbers. Warszawa: Polish Scientific Publishers 1974

    Google Scholar 

  10. Prachar, K.: Primzahlverteilung. Berlin Heidelberg New York: Springer 1978

    Google Scholar 

  11. Rohlfs, J.: Arithmetisch definierte Gruppen mit Galoisoperation. Inventiones math.48, 185–205 (1978)

    Google Scholar 

  12. Rosser, B.: Then-th prime is greater thann·logn. Proc. London Math. Soc. (2)45, 21–44 (1938)

    Google Scholar 

  13. Serre, J.-P.: Cohomologie Galoisienne. Lecture Notes in Math.5. Berlin New York Heidelberg: Springer 1965

    Google Scholar 

  14. Serre, J.-P.: Le problème des groupes de congruence pourSL 2 Ann. Math.92 489–527 (1972)

    Google Scholar 

  15. Shimura, G.: Introduction to the arithmetic theory of automorphic functions. Iwanami Shoten Publishers and Princeton: University Press 1971

    Google Scholar 

  16. Swan, R.G.: Generators and relations for certain special linear groups. Adv. Math.6, 1–77 (1971)

    Google Scholar 

  17. Tamagawa, T.: Adèles. Proc. Symp. Pure Math. IX, Amer. Math. Soc. 113–121 (1966)

  18. Verdier, J.L.: Caracteristique d'Euler-Poincaré. Bull. Soc. Math. France101, 441–445 (1973)

    Google Scholar 

  19. Vignéras, M.-F.: Arithmétique des Algèbres de Quaternions. Lecture Notes in Math.800. Berlin Heidelberg New York: Springer 1980

    Google Scholar 

  20. Zimmert, R.: ZurSL 2 der ganzen Zahlen eines imaginär quadratischen Zahlkörpers. Inventiones math.19, 73–82 (1973)

    Google Scholar 

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  1. Mathematisch-Geographische Fakultät, Katholische Universität Eichstätt, Ostenstraße 26-28, D-8078, Eichstätt, Federal Republic of Germany

    J. Rohlfs

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  1. J. Rohlfs
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Rohlfs, J. On the cuspidal cohomology of the Bianchi modular groups. Math Z 188, 253–269 (1985). https://doi.org/10.1007/BF01304213

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  • DOI: https://doi.org/10.1007/BF01304213

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