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MARKED SCHOTTKY GROUPS AND REPRESENTATIONS OF SURFACE GROUPS

Published online by Cambridge University Press:  06 March 2003

J. O. BUTTON
J. O. BUTTON
Affiliation:
Selwyn College, Cambridge CB3 9DQ. jb128@dpmms.cam.ac.uk
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Abstract

We give a complete condition for any $n$ elements of ${\rm PSL}(2, {\mathbb R})$ to generate a Fuchsian group which is a Schottky group on that set of generators, and apply it to a question of Bowditch on representations of surface groups into ${\rm PSL}(2, {\mathbb R})$.

2000 Mathematical Subject Classification: 20H10, 32G15.

Keywords

SchottkyFuchsiansurface
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 86 , Issue 2 , March 2003 , pp. 443 - 462
Copyright
2003 London Mathematical Society

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