Mathematical Research Letters

Volume 9, Issue 3, March 2002 pp. 379-391.

A Circle of Modular Groups in PU(2,1)

Authors: E. Falbel and P.-V. Koseleff
Author institution: Université Pierre et Marie Curie

Summary: We prove that there exists a circle of discrete and faithful embeddings of the triangle group of type $(2, 3, \infty)$ in the automorphisms group of complex hyperbolic space. The proof is obtained by a construction of a fundamental domain using {\mbox{\bf C}}-spheres.

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