English

All Fuchsian Schottky groups are classical Schottky groups

Geometric Topology 2007-05-23 v1

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.

Cite

@article{arxiv.math/9810189,
  title  = {All Fuchsian Schottky groups are classical Schottky groups},
  author = {Jack Button},
  journal= {arXiv preprint arXiv:math/9810189},
  year   = {2007}
}

Comments

9 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon1/paper5.abs.html