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

Juan Souto
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Abstract

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.

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Juan Souto. 2009-04-12. The rank of the fundamental group of certain hyperbolic 3-manifolds fibering over the circle. https://doi.org/10.2140/gtm.2008.14.505

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