**Speaker:** Ann Kiefer (Brussels/Bielefeld)

**Title:** *Generators for Discrete Subgroups of 2-by-2
Matrices over Rational
Clifford Groups*

**Abstract:**

In earlier work, we developed an algorithm to determine generators for discrete subgroups groups acting discontinuously on hyperbolic 3-space. The mentioned algorithm constructs a polyhedron containing a fundamental domain in order to find a set of generators.

In this work we imitate this algorithm to Clifford matrices acting discontinuously on hyperbolic n-space. The motivation behind is to get a set of generators for discrete subgroups of 2-by-2 matrices over rational quaternion algebras.