We give a detailed account of Zlil Sela's construction of Makanin-Razborov diagrams describing Hom(G, Γ) where G is a finitely generated group and Γ is a hyperbolic group. We also deal with the case where Γ has torsion. Les diagrammes Makanin-Razborov pour les groupes hyperboliques Résumé Nous proposons une présentation détaillée de la construction des diagrammes de Makanin-Razborov de Zlil Sela qui décrivent Hom(G, Γ) pour un groupe G de type fini et un groupe hyperbolique Γ. De plus, nous traitons le cas où Γ est un groupe ayant de la torsion.
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