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Complex hyperbolic triangle groups with 2-fold symmetry
(2017) Джон Р. Паркер, Лі-Джі Сан
In this paper we will consider the 2-fold symmetric complex hyperbolic triangle groups generated by three complex reflections through angle 2Π/p with p ≥ 2. We will mainly concentrate on the groups where some elements are elliptic of finite order. Then we will classify all such groups which are candidates for being discrete. There are only 4 types.