Note on non-discrete complex hyperbolic triangle groups of type (n, n, infinity; k) II

摘要

A complex hyperbolic triangle group is a group generated by three complex involutions fixing complex lines in complex hyperbolic space. In our previous papers [4-8] we discussed complex hyperbolic triangle groups. In particular, in [5,8] we considered complex hyperbolic triangle groups of type (n, n, infinity; k) and proved that for n >= 22 these groups are not discrete. In this paper we show that if n >= 14, then complex hyperbolic triangle groups of type (n, n, infinity; k) are not discrete and give a new list of non-discrete groups of type (n, n, infinity; k).