Resumen de Unfaithful complex hyperbolic triangle groups, II: higher order reflections

John R. Parker, Julien Paupert

• 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).