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Geometric limits of cyclic groups and the shape of Schottky space

Published online by Cambridge University Press:  07 July 2004

JOUNI PARKKONEN
JOUNI PARKKONEN
Affiliation:
Department of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35, 40351 Jyväskylä, Finland. e-mail: [email protected]
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Abstract

We give a local estimate of the shape of Schottky space at certain boundary points. This is done by studying the geometric limits of sequences of cyclic groups and applying the results to the generators of Schottky groups. We also obtain information on discrete, non-faithful representations close to the cusps.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 137 , Issue 1 , July 2004 , pp. 55 - 68
Copyright
2004 Cambridge Philosophical Society

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