All Fuchsian Schottky groups are classical Schottky groups

1998/10/25 by Jack Button · 1 citation
Mathematics · #math.GT #msc:20H10 #msc:30F35 #msc:30F40

paper · pdf

published as Geom. Topol. Monogr. 1 (1998), 117-125 · 9 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon1/paper5.abs.html

arxiv created 1998/10/25 · arxiv updated 2009/11/30

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.

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