Kamiya, Shigeyasu and Parker, John R. and Thompson, James M. (2010) 'Notes on complex hyperbolic triangle groups.', Conformal geometry and dynamics., 14 . pp. 202-218.
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.
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