Unfaithful complex hyperbolic triangle groups, II: higher order reflections

• Autores: John R. Parker, Julien Paupert
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 239, Nº 2, 2009, págs. 357-389
• Idioma: inglés
• DOI: 10.2140/pjm.2009.239.357
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• Resumen

  • We consider symmetric complex hyperbolic triangle groups generated by three complex reflections through angle 2p / 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).