Unfaithful complex hyperbolic triangle groups I: Involutions
نویسنده
چکیده
A complex hyperbolic triangle group is the group of complex hyperbolic isometries generated by complex involutions fixing three complex lines in complex hyperbolic space. Such a group is called equilateral if there is an isometry of order three that cyclically permutes the three complex lines. We consider equilateral triangle groups for which the product of each pair of involutions and the product of all three involutions are all non-loxodromic. We classify all such groups that are discrete.
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