Notes on complex hyperbolic triangle groups

Kamiya, Shigeyasu; Parker, John R.; Thompson, James M.

doi:10.1090/s1088-4173-2010-00215-8

Notes on complex hyperbolic triangle groups

Kamiya, Shigeyasu; Parker, John R.; Thompson, James M.

Authors

Shigeyasu Kamiya

Professor John Parker j.r.parker@durham.ac.uk
Professor

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.

Citation

Kamiya, S., Parker, J. R., & Thompson, J. M. (2010). Notes on complex hyperbolic triangle groups. Conformal Geometry and Dynamics, 14, 202-218. https://doi.org/10.1090/s1088-4173-2010-00215-8

Journal Article Type	Article
Publication Date	Jan 1, 2010
Deposit Date	Nov 19, 2010
Publicly Available Date	Dec 6, 2010
Journal	Conformal Geometry and Dynamics
Print ISSN	1088-4173
Publisher	American Mathematical Society
Peer Reviewed	Peer Reviewed
Volume	14
Pages	202-218
DOI	https://doi.org/10.1090/s1088-4173-2010-00215-8