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Notes on complex hyperbolic triangle groups.

By Shigeyasu Kamiya, John R. Parker and James M. Thompson

Abstract

We first demonstrate a family of isomorphisms between complex hyperbolic triangle groups and outline a systematic approach classifying the groups. Then we describe conditions that determine the discreteness of certain groups, in particular we prove a slightly weaker version of a conjecture given by Schwartz. Finally we collect together a list of known discrete triangle groups and propose some good candidates for discrete groups

Publisher: American Mathematical Society
Year: 2010
OAI identifier: oai:dro.dur.ac.uk.OAI2:7593
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Citations

  1. (2002). Complex hyperbolic triangle groups. doi
  2. (2003). Real hyperbolic on the outside, complex hyperbolic on the inside. doi
  3. Ridai-cho, Okayama 700-0005, Japan E-mail address: s.kamiya@are.ous.ac.jp
  4. Two new triangle group lattices in the complex hyperbolic plane.

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