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

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

2010-04-30

arxiv.org/abs/1004.5434v1

Mathematics

Differential Geometry

5 pages.

Scientific paper

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.

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