Hyperbolic groups containing subgroups of type ${\mathcal{F}}_3$ not ${\mathcal{F}}_4$

Claudio Llosa Isenrich, Bruno Martelli, Pierre Py

We give examples of hyperbolic groups which contain subgroups that are of type ${\mathcal{F}}_3$ but not of type ${\mathcal{F}}_4$. These groups are obtained by Dehn filling starti…