Jorgensen's Inequality and Purely Loxodromic 2-Generator Free Kleinian Groups

İlker S. Yüce

Let $\xi$ and $\eta$ be two non--commuting isometries of the hyperbolic $3$--space ${\mathbb{H}}^3$ so that $\Gamma =⟨\xi ,\eta ⟩$ is a purely loxodromic free Kleinian group. For $\gamma \in \Gamma$ a…