Geometry & Topology Monographs 1 (1998) 117–125

DOI: 10.2140/gtm.1998.1.117

arXiv: math.GT/9810189

Abstract

Not all Schottky groups of Möbius 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

Möbius transformation, Fuchsian group, Schottky group

Mathematical Subject Classification

Primary: 20H10

Secondary: 30F35, 30F40

References

Publication

Received: 13 May 1998
Revised: 15 October 1998
Published: 21 October 1998

Authors