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Limit points for infinitely generated Fuchsian groups

Published online by Cambridge University Press:  24 October 2008

Shunsuke Morosawa
Shunsuke Morosawa
Affiliation:
Mathematical Institute, Tôhoku University, Sendai, 980, Japan
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Extract

Let D be the unit disc in the complex plane ℂ with centre 0 and let ∂D be its boundary. By Möb (D) we denote the group of all Möbius transformations which leave D invariant. A Fuchsian group G acting on D is a discrete subgroup of Möb (D). The limit set of G is in ∂D. We decompose ∂D into the following three disjoint sets:

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 104 , Issue 3 , November 1988 , pp. 539 - 545
Copyright
Copyright © Cambridge Philosophical Society 1988

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References

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