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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.

Abstract

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.
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Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.2140/pjm.2009.239.357
Date accepted:No date available
Date deposited:03 January 2014
Date of first online publication:November 2009
Date first made open access:No date available

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