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

摘要

A complex hyperbolic triangle group is a group generated by three complexinvolutions fixing complex lines in complex hyperbolic space. In a previouspaper~[3] we discussed complex hyperbolic triangle groups of type$(n,n,infty;k)$ and proved that for $n geq 29$ these groups are not discrete.In this paper we show that if $n geq 22$, then complex hyperbolic trianglegroups of type $(n,n,infty;k)$ are not discrete and give a new list ofnon-discrete groups of type $(n,n,infty;k)$.