On invertible generating pairs of fundamental groups of graph manifolds

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We study invertible generating pairs of fundamental groups of graph manifolds, that is, pairs of elements (g,h) for which the map g --> g^{-1}, h --> h^{-1} extends to an automorphism. We show in particular that a graph manifold is of Heegaard genus 2 if and only if its fundamental group has an invertible generating pair.
This is the version published by Geometry & Topology Monographs on 29 April 2008

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