Propagating quasiconvexity from fibers

Mahan Mj, Pranab Sardar

Let $1\to K⟶G\stackrel{\pi }{⟶}Q$ be an exact sequence of hyperbolic groups. Let $Q_1<Q$ be a quasiconvex subgroup and let $G_1={\pi }^{-1}(Q_1)$. Under rela…