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Convex fundamental regions for Fuchsian groups: II

Published online by Cambridge University Press:  24 October 2008

P. Nicholls  and
R. Zarrow
P. Nicholls
Affiliation:
Northern Illinois University, DeKalb
R. Zarrow
Affiliation:
Northern Illinois University, DeKalb
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Extract

1. Introduction. In this article we continue the work begun in (5). We will consider only finitely generated Fuchsian groups of the first kind. Let G be such a group acting on the unit disc Δ. A fundamental domain D for G is a connected open set with the property that any point of Δ is G-equivalent to exactly one point in D or at least one point in (the closure of D in Δ). A fundamental domain is said to be locally finite if there are no points in Δ where infinitely many G-images of D accumulate.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 86 , Issue 2 , September 1979 , pp. 295 - 300
Copyright
Copyright © Cambridge Philosophical Society 1979

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References

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