2 papers
math.GR2026
On the type of a complex hyperbolic triangle group
Wei Liao, John R Parker
In this paper we consider groups of complex hyperbolic isometries generated by three complex involutions. Our first main result states that if the group is discrete and at least tw…
math.GT2025
Discreteness of the complex hyperbolic ultra-parallel triangle groups
Wei Liao, Baohua Xie
We prove that a family of complex hyperbolic ultra-parallel -triangle group representations, where \( m_3 > 0 \), is discrete and faithful if and only if the isome…