Groups generated by two elliptic elements in PU(2,1)

Baohua Xie, Yueping Jiang

Let $f$ and $g$ be two elliptic elements in $\mathbf{PU}(2,1)$ of order $m$ and $n$ respectively, where $m\ge n>2$. We prove that if the distance $\delta (f,g)$ between the complex line…