On intersections of locally quasiconvex subgroups

Nir Lazarovich, Zachary Munro

Let $H_1,H_2$ be locally quasiconvex, torsion-free subgroups of a hyperbolic group $G$. We prove $\mathrm{rank}(H_1\cap H_2)$ can be bounded in terms of $\mathrm{rank}(H_1)$ and…