Graphes de groupes et groupes co-hopfiens

Abstract : A group G is said to be co-hopfian if every injection from G to G is an automorphism. With the Bass-Serre theory, we give conditions for the fundamental group of a graph of groups to be co-hopfian. We show that all one ended hyperbolic group is co-hopfian and use all these results to give a caracterisation of co-hopfian hyperbolic groups.
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https://tel.archives-ouvertes.fr/tel-00961301
Contributor : Christophe Moioli <>
Submitted on : Tuesday, April 1, 2014 - 12:40:04 PM
Last modification on : Monday, April 29, 2019 - 5:13:10 PM
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  • HAL Id : tel-00961301, version 1

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Christophe Moioli. Graphes de groupes et groupes co-hopfiens. Théorie des groupes [math.GR]. Université Paul Sabatier - Toulouse III, 2013. Français. ⟨tel-00961301⟩

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