Year: 2010
Type: preprint
Abstract: Let $f$ and $g$ be two elliptic elements in $\mathbf{PU}(2,1)$ of order $m$ and $n$ respectively, where $m\geq n>2$. We prove that if the distance $δ(f,g)$ between the complex lines or points fixed by $f$ and $g$ is large than a certain number, then the group $< f, g >$ is discrete nonelementary and isomorphic to the free product $\mathbf{Z}_{m}*\mathbf{Z}_{n}$.
Source: arXiv (Cornell University)
Authors: Xie, Baohua, Jiang, Yueping
Institution: Hunan University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2006297101