Non-Discrete Complex Hyperbolic Triangle Groups of Type (m,m,infinity)

Abstract

In this note we prove that a complex hyperbolic triangle group of type (m,m,infinity), i.e. a group of isometries of the complex hyperbolic plane, generated by complex reflections in three complex geodesics meeting at angles Pi/m, Pi/m and 0, is not discrete if the product of the three generators is regular elliptic.

5 pages.

References in corpus (1)

• Complex hyperbolic triangle groups

Cited by in corpus (1)

• Notes on complex hyperbolic triangle groups of type (m,n,infinity)