Proc. London Math. Soc.
Abstract of Paper PLMS 1381

J. O. Button

Marked Schottky groups and representations of surface groups

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: Schottky, Fuchsian, surface.

E-mail: jb128@dpmms.cam.ac.uk


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