Skip to main content
SpringerLink
Log in

Subgroups of finite index of Fuchsian groups

  • 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

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. Cohen, D. E.: Ends and free products of groups. Math. Z.114, 9–18 (1970).

    Google Scholar 

  2. Dehn, M.: Über unendliche diskontinuierliche Gruppen. Math. Ann.71, 116–144 (1911).

    Google Scholar 

  3. Dunwoody, M. J.: The ends of finitely generated groups. J. Algebra12, 339–344 (1969).

    Google Scholar 

  4. Fricke, R., Klein, F.: Vorlesungen über die Theorie der automorphen Funktionen. Leipzig-Berlin: Teubner 1926.

    Google Scholar 

  5. Karrass, A., Solitar, D.: Note on a theorem of Schreier. Proc. Amer. Math. Soc.8, 696–697 (1957).

    Google Scholar 

  6. ——: The subgroups of a free product of two groups with an amalgamated subgroup. Trans. Amer. Math. Soc.150, 227–255 (1970).

    Google Scholar 

  7. Magnus, W.: Residually finite groups. Bull. Amer. Math. Soc.75, 305–316 (1969).

    Google Scholar 

  8. — Karrass, A., Solitar D.: Combinatirial group theory: Presentations of groups. Pure and Appl. Math., Vol. 13. New York: Interscience 1966.

    Google Scholar 

  9. Seifert, H., Threlfall, W.: Lehrbuch der Topologie. New York: Chelsea Publishing Company 1945.

    Google Scholar 

  10. Shenitzer, A.: Decomposition of a group with a single defining relation into a free product. Proc. Amer. Math. Soc.6, 237–279 (1955).

    Google Scholar 

  11. Stallings, J. R.: On torsion-free groups with infinitely many ends. Ann. of Math.88, 312–334 (1968).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Pure Mathematics, University of Birmingham, Birmingham 15, England

    A. Howard M. Hoare

  2. Department of Mathematics, York University, Downsview 463, Ontario, Canada

    Abraham Karrass

  3. Department of Mathematics, York University, Downsview 463, Ontario, Canada

    Donald Solitar

Authors
  1. A. Howard M. Hoare
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Abraham Karrass
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Donald Solitar
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This research was done independently by Hoare and Karrass-Solitar and was supported in part by grants from the National Research Council of Canada, Grant #A5602 and Grant #A5614.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hoare, A.H.M., Karrass, A. & Solitar, D. Subgroups of finite index of Fuchsian groups. Math Z 120, 289–298 (1971). https://doi.org/10.1007/BF01109993

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01109993

Keywords

Search

Navigation