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. |
| Full text: | Publisher-imposed embargo (AM) Accepted Manuscript File format - PDF (Copyright agreement prohibits open access to the full-text) (538Kb) |
| Full text: | (VoR) Version of Record Download PDF (23202Kb) |
| 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 |
Save or Share this output
| Export: | |
| Look up in GoogleScholar |
