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Convex fundamental domains of Fuchsian groups

Published online by Cambridge University Press:  24 October 2008

A. F. Beardon
A. F. Beardon
Affiliation:
St Catharine's College, Cambridge
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Extract

In this paper a Fuchsian group G shall be a discrete group of Möbius transformations each of which maps the unit disc △ in the complex plane onto itself. We shall also assume throughout this paper that G is both finitely generated and of the first kind.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 76 , Issue 3 , November 1974 , pp. 511 - 513
Copyright
Copyright © Cambridge Philosophical Society 1974

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References

REFERENCES

(1)Beardon, A. F. Fundamental domains for Kleinian groups. Discontinuous groups and Riemann Surfaces, Annals of Math. Studies No. 79, Princteon Univ. Press, 1974.CrossRefGoogle Scholar
(2)Beardon, A. F. and Maskit, B.Limit points of Kleinian groups and finite sided fundamental polyhedra. Acta Math. 1974.CrossRefGoogle Scholar
(3)Lehner, J.A short course in autonwrphic functions (Holt, Rinehart and Winston, 1966).Google Scholar
(4)Lehner, J.Discontinuous groups and automorphic functions (American Math. Soc. Surveys, VIII, 1964).CrossRefGoogle Scholar