On Subgroups of a Hyperbolic Group

Explore a fascinating lecture on the non-hereditary nature of hyperbolicity in group theory. Delve into the intriguing discovery that hyperbolic groups can contain finite type subgroups that are not themselves hyperbolic. Learn about the construction of such examples using a hyperbolic 5-manifold that fibers over the circle. This 51-minute talk, presented by Bruno Martelli at the Workshop on Geometry of Subgroups hosted by the Centre de recherches mathématiques (CRM), challenges conventional understanding of hyperbolic group properties and offers new insights into the complex relationships between groups and their subgroups.

Bruno Martelli: On subgroups of a hyperbolic group