Makanin–Razborov diagrams for hyperbolic groups

Richard Weidmann; Cornelius Reinfeldt

doi:10.5802/ambp.387

Makanin–Razborov diagrams for hyperbolic groups
[Les diagrammes Makanin–Razborov pour les groupes hyperboliques]

Richard Weidmann ¹ ; Cornelius Reinfeldt ²

¹ Mathematisches Seminar Christian-Albrechts-Universität zu Kiel Ludewig-Meyn Str. 4 24098 Kiel GERMANY
² gestigon GmbH Maria-Goeppert-Str. 17 23562 Lübck GERMANY

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

Résumé
Abstract

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.

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.

Publié le : 2020-08-26

DOI : 10.5802/ambp.387

Mots clés : Makanin–Razborov Diagrams

Affiliations des auteurs :

Richard Weidmann ¹ ; Cornelius Reinfeldt ²

¹ Mathematisches Seminar Christian-Albrechts-Universität zu Kiel Ludewig-Meyn Str. 4 24098 Kiel GERMANY
² gestigon GmbH Maria-Goeppert-Str. 17 23562 Lübck GERMANY

Licence :

CC-BY 4.0

Droits d'auteur : Les auteurs conservent leurs droits

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     author = {Richard Weidmann and Cornelius Reinfeldt},
     title = {Makanin{\textendash}Razborov diagrams for hyperbolic groups},
     journal = {Annales math\'ematiques Blaise Pascal},
     pages = {119--208},
     publisher = {Universit\'e Clermont Auvergne, Laboratoire de math\'ematiques Blaise Pascal},
     volume = {26},
     number = {2},
     year = {2019},
     doi = {10.5802/ambp.387},
     language = {en},
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Richard Weidmann; Cornelius Reinfeldt. Makanin–Razborov diagrams for hyperbolic groups. Annales mathématiques Blaise Pascal, Tome 26 (2019) no. 2, pp. 119-208. doi : 10.5802/ambp.387. https://ambp.centre-mersenne.org/articles/10.5802/ambp.387/

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