A characterisation of S^3 among homology spheres Auteur(s): Boileau Michel, Paoluzzi Luisa, Zimmermann Bruno (Article) Publié: -Geom. Topol. Monogr., vol. 14 p.83-103 (2008) Ref HAL: hal-00638112_v1 Exporter : BibTex | endNote Résumé: We prove that an integral homology 3-sphere is S^3 if and only if it admits four periodic diffeomorphisms of odd prime orders whose space of orbits is S^3 . As an application we show that an irreducible integral homology sphere which is not S^3 is the cyclic branched cover of odd prime order of at most four knots in S^3 . A result on the structure of finite groups of odd order acting on integral homology spheres is also obtained.