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Journal of Mathematical Sciences

, Volume 128, Issue 6, pp 3501–3503 | Cite as

Groups of Signature (0; n; 0)

  • P. Tumarkin
Article

Abstract

Let M be an ideal polygon with 2n − 2 vertices. Consider a pairing of the symmetrical (with respect to some fixed diagonal) sides of M by mappings S i , 1 ⩽ in − 1, and denote by Γ the group generated by these mappings. Each S i depends on one parameter. We prove a necessary and sufficient condition for the possibility of choosing these parameters so that our polygon M would be a fundamental domain for the action of Γ.

Keywords

Fundamental Domain Ideal Polygon 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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REFERENCES

  1. 1.
    H. Poincare, Oeuvres, Vol. II, Gauthier-Villars, Paris (1916).Google Scholar
  2. 2.
    A. Beardon, The Geometry of Discrete Groups, Springer (1983).Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • P. Tumarkin
    • 1
  1. 1.Moscow State UniversityMoscowRussia

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