On invertible generating pairs of fundamental groups of graph manifolds

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/226249We 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 2008Geometric Topology20F34, 57M27On invertible generating pairs of fundamental groups of graph manifoldstext