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://pjm.berkeley.edu/pjm/2009/239-2/p06.xhtml|
|Record Created:||29 Oct 2009 11:35|
|Last Modified:||02 Nov 2009 16:13|
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