Research announcement: The structure of groups with a quasiconvex hierarchy
Research announcement: The structure of groups with a quasiconvex hierarchy
Let $G$ be a word-hyperbolic group with a quasiconvex hierarchy.We show that $G$ has a finite index subgroup $G'$ that embeds as a quasiconvex subgroup of a right-angled Artin group.It follows that every quasiconvex subgroup of $G$ is a virtual retract,and is hence separable.The results are applied to certain 3-manifold …