Notes on complex hyperbolic triangle groups-Reference-Cited by-同舟云学术

Notes on complex hyperbolic triangle groups

Published:2010-08-30 Issue:12 Volume:14 Page:202-218
ISSN:1088-4173
Container-title:Conformal Geometry and Dynamics of the American Mathematical Society
language:en
Short-container-title:Conform. Geom. Dyn.

Author:

Kamiya Shigeyasu,Parker John,Thompson James

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 (AMS)

Subject

Geometry and Topology

Link

http://www.ams.org/ecgd/2010-14-12/S1088-4173-2010-00215-8/S1088-4173-2010-00215-8.pdf

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