Geodesic
Hyperbolicity and cubulability are preserved under elementary equivalence
André, Simon1
1 Université de Rennes 1, CNRS, IRMAR-UMR 6625, Rennes, France, Department of Mathematics, Vanderbilt University, Nashville, TN, United States
Geometry & topology, Tome 24 (2020) no. 3, pp. 1075-1147.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

The following properties are preserved under elementary equivalence, among finitely generated groups: being hyperbolic (possibly with torsion), being hyperbolic and cubulable, and being a subgroup of a hyperbolic group. In other words, if a finitely generated group G has the same first-order theory as a group possessing one of the previous properties, then G enjoys that property as well.

DOI : 10.2140/gt.2020.24.1075
Classification : 20F67, 03C65
Keywords: hyperbolic groups, cubulable groups, model theory, elementary equivalence, first-order logic

André, Simon 1

1 Université de Rennes 1, CNRS, IRMAR-UMR 6625, Rennes, France, Department of Mathematics, Vanderbilt University, Nashville, TN, United States 
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André, Simon. Hyperbolicity and cubulability are preserved under elementary equivalence. Geometry & topology, Tome 24 (2020) no. 3, pp. 1075-1147. doi : 10.2140/gt.2020.24.1075. http://geodesic.mathdoc.fr/articles/10.2140/gt.2020.24.1075/

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