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Notes on complex hyperbolic triangle groups

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

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Shigeyasu Kamiya

James M. Thompson


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.


Kamiya, S., Parker, J. R., & Thompson, J. M. (2010). Notes on complex hyperbolic triangle groups. Conformal Geometry and Dynamics, 14, 202-218.

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


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