Makanin–Razborov diagrams for hyperbolic groups

Weidmann, Richard; Reinfeldt, Cornelius

Annales mathématiques Blaise Pascal, Tome 26 (2019) no. 2, pp. 119-208.

Nous proposons une présentation détaillée de la construction des diagrammes de Makanin–Razborov de Zlil Sela qui décrivent $\mathrm{Hom}(G,\Gamma )$ pour un groupe $G$ de type fini et un groupe hyperbolique $\Gamma$. De plus, nous traitons le cas où $\Gamma$ est un groupe ayant de la torsion.

We give a detailed account of Zlil Sela’s construction of Makanin–Razborov diagrams describing $\mathrm{Hom}(G,\Gamma )$ where $G$ is a finitely generated group and $\Gamma$ is a hyperbolic group. We also deal with the case where $\Gamma$ has torsion.

Mots clés : Makanin–Razborov Diagrams

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