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Unfaithful complex hyperbolic triangle groups, II : higher order reflections.

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).

Item Type:Article
Keywords:Complex reflection, Complex hyperbolic, Lattices in SU(2,1), Nonarithmetic lattice.
Full text:PDF - Accepted Version
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Record Created:29 Oct 2009 11:35
Last Modified:03 Jan 2014 15:00

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