Bulletin (New Series) of the American Mathematical Society

Torsion free subgroups of Fuchsian groups and tessellations of surfaces

Allan L. Edmonds, John H. Ewing, and Ravi S. Kulkarni

Full-text: Open access

Article information

Source
Bull. Amer. Math. Soc. (N.S.), Volume 6, Number 3 (1982), 456-458.

Dates
First available in Project Euclid: 4 July 2007

Permanent link to this document
https://projecteuclid.org/euclid.bams/1183548792

Mathematical Reviews number (MathSciNet)
MR648534

Zentralblatt MATH identifier
0486.30033

Subjects
Primary: 30F35: Fuchsian groups and automorphic functions [See also 11Fxx, 20H10, 22E40, 32Gxx, 32Nxx]
Secondary: 57M12: Special coverings, e.g. branched 51M20: Polyhedra and polytopes; regular figures, division of spaces [See also 51F15] 05B45: Tessellation and tiling problems [See also 52C20, 52C22]

Citation

Edmonds, Allan L.; Ewing, John H.; Kulkarni, Ravi S. Torsion free subgroups of Fuchsian groups and tessellations of surfaces. Bull. Amer. Math. Soc. (N.S.) 6 (1982), no. 3, 456--458. https://projecteuclid.org/euclid.bams/1183548792


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References

  • 1. A. L. Edmonds, J. H. Ewing, and R. S. Kulkarni, Regular tessellations of surfaces and (p, q, 2) triangle groups, Ann. of Math, (to appear).
  • 2. A. L. Edmonds, J. H. Ewing, and R. S. Kulkarni, Torsion free subgroups of Fuchsian groups and tessellations of surfaces (to appear).
  • 3. R. Fox, On Fenchel's conjecture about F-groups, Mat. Tidsskr. B (1952), 61-65.
  • 4. J. Mennicke, Eine Bemerbung über Fuchssche Gruppen, Invent. Math. 2 (1967), 301-305; Corrigendum, ibid 6 (1968), 106.
  • 5. A. Selberg, On discontinuous groups in higher-dimensional symmetric spaces, Contributions to Function Theory, Tata Institute of Fundamental Research, Bombay, 1960, pp. 161-183.