Quaternionic Kleinian modular groups and arithmetic hyperbolic orbifolds over the quaternions

Juan Pablo Díaz, Alberto Verjovsky, Fabio Vlacci

Using the rings of Lipschitz and Hurwitz integers $\mathbb{H}(\mathbb{Z})$ and $\mathbb{H}ur(\mathbb{Z})$ in the quaternion division algebra $\mathbb{H}$, we define several Kleinia…