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Article Dans Une Revue Geometry and Topology Année : 2020

Hyperbolicity and Cubulability Are Preserved Under Elementary Equivalence

Résumé

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 property, then G enjoys this property as well.
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Dates et versions

hal-01694690 , version 1 (28-01-2018)

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Citer

Simon André. Hyperbolicity and Cubulability Are Preserved Under Elementary Equivalence. Geometry and Topology, 2020, 24 (3), pp.1075-1147. ⟨10.2140/gt.2020.24.1075⟩. ⟨hal-01694690⟩
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