Bianchi group

The Bianchi groups are a class of groups that arise in the context of hyperbolic geometry and algebraic groups. Specifically, they are related to the modular group of lattices in hyperbolic space. The Bianchi groups can be defined as groups of isometries of hyperbolic 3-space \(\mathbb{H}^3\) that preserve certain algebraic structures. More concretely, the Bianchi groups are associated with imaginary quadratic number fields.