Hostname: page-component-78c5997874-v9fdk Total loading time: 0 Render date: 2024-11-05T04:24:39.957Z Has data issue: false hasContentIssue false

Geometric limits of cyclic groups and the shape of Schottky space

Published online by Cambridge University Press:  07 July 2004

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

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
Copyright
2004 Cambridge Philosophical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)