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Groups of Signature (0; n; 0)


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.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 9, No. 1, pp. 259–262, 2003.

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Tumarkin, P. Groups of Signature (0; n; 0). J Math Sci 128, 3501–3503 (2005).

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  • Fundamental Domain
  • Ideal Polygon