On invertible generating pairs of fundamental groups of graph manifolds

Michel Boileau; Richard Weidmann

doi:10.2140/gtm.2008.14.105

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arXiv · 0904.1380

On invertible generating pairs of fundamental groups of graph manifolds

Michel Boileau·Richard Weidmann

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Abstract

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.

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Michel Boileau, Richard Weidmann. 2009-04-08. On invertible generating pairs of fundamental groups of graph manifolds. https://doi.org/10.2140/gtm.2008.14.105

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