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arXiv · 1004.5434

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

Anna Pratoussevitch
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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.

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Anna Pratoussevitch. 2010-04-30. Non-Discrete Complex Hyperbolic Triangle Groups of Type (m,m,infinity). https://doi.org/10.1112/blms%2Fbdq107

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