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Unfaithful complex hyperbolic triangle groups II: Higher order reflections

Parker, John R.; Paupert, Julien

Unfaithful complex hyperbolic triangle groups II: Higher order reflections Thumbnail


Authors

Julien Paupert



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).

Citation

Parker, J. R., & Paupert, J. (2009). Unfaithful complex hyperbolic triangle groups II: Higher order reflections. Pacific Journal of Mathematics, 239(2), 357-389. https://doi.org/10.2140/pjm.2009.239.357

Journal Article Type Article
Publication Date Nov 27, 2009
Deposit Date Oct 29, 2009
Publicly Available Date Dec 1, 2017
Journal Pacific Journal of Mathematics
Publisher Mathematical Sciences Publishers (MSP)
Peer Reviewed Peer Reviewed
Volume 239
Issue 2
Pages 357-389
DOI https://doi.org/10.2140/pjm.2009.239.357
Keywords Complex reflection, Complex hyperbolic, Lattices in SU(2,1), Nonarithmetic lattice.

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