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

Non‐discrete complex hyperbolic triangle groups of type ( m , m , ∞)