2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/226377We determine the rank of the fundamental group of those hyperbolic 3-manifolds fibering over the circle whose monodromy is a sufficiently high power of a pseudo-Anosov map. Moreover, we show that any two generating sets with minimal cardinality are Nielsen equivalent.This is the version published by Geometry & Topology Monographs on 29 April 2008Geometric Topology57M50, 57M07text