Geometry & Topology Monographs 1 (1998), The Epstein Birthday Schrift, paper no. 5, pages 117-125.

All Fuchsian Schottky groups are classical Schottky groups

Jack Button

Abstract. Not all Schottky groups of Moebius transformations are classical Schottky groups. In this paper we show that all Fuchsian Schottky groups are classical Schottky groups, but not necessarily on the same set of generators.

Keywords. Moebius transformation, Fuchsian group, Schottky group

AMS subject classification. Primary: 20H10. Secondary: 30F35, 30F40.

E-print: arXiv:math.GT/9810189

Submitted: 13 May 1998. (Revised: 15 October 1998.) Published: 25 October 1998.

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Jack Button
Wadham College, Oxford, OX1 3PN, UK
Email: button@maths.ox.ac.uk

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