Mathematical Proceedings of the Cambridge Philosophical Society

Geometric limits of cyclic groups and the shape of Schottky space

a1 Department of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35, 40351 Jyväskylä, Finland. e-mail:

Article author query
parkkonen j   [Google Scholar] 


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.

(Received June 20 2002)
(Revised December 12 2002)


1 Research supported by Academy of Finland grants 42948 and 41320.