Subgroups of bounded rank in hyperbolic 3-manifold groups

Ian Biringer

Published 2024-01-02Version 1

We prove a finiteness theorem for subgroups of bounded rank in hyperbolic $3$-manifold groups. As a consequence, we show that every bounded rank covering tower of closed hyperbolic $3$-manifolds is a tower of finite covers associated to a fibration over a $1$-orbifold.