The rank of the fundamental group of certain hyperbolic 3-manifolds fibering over the circle

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We 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 2008

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