Parker, John R. and Paupert, Julien (2009) 'Unfaithful complex hyperbolic triangle groups, II : higher order reflections.', Pacific journal of mathematics., 239 (2). pp. 357-389.
We consider symmetric complex hyperbolic triangle groups generated by three complex reflections through angle 2π ∕ p, with p ≥ 3. We restrict our attention to those groups where certain words are elliptic. Our goal is to find necessary conditions for such a group to be discrete. The main application we have in mind is that such groups are candidates for nonarithmetic lattices in SU(2,1).
|Keywords:||Complex reflection, Complex hyperbolic, Lattices in SU(2,1), Nonarithmetic lattice.|
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|Publisher Web site:||http://dx.doi.org/10.2140/pjm.2009.239.357|
|Record Created:||29 Oct 2009 11:35|
|Last Modified:||05 Jul 2016 16:12|
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