Hyperbolic hyperbolic-by-cyclic groups are cubulable - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2023

Hyperbolic hyperbolic-by-cyclic groups are cubulable

Résumé

We show that the mapping torus of a hyperbolic group by a hyperbolic automorphism is cubulable. Along the way, we (i) give an alternate proof of Hagen and Wise's theorem that hyperbolic free-by-cyclic groups are cubulable, and (ii) extend to the case with torsion Brinkmann's thesis that a torsion-free hyperbolic-by-cyclic group is hyperbolic if and only if it does not contain $\mathbb{Z}^2$-subgroups.

Dates et versions

hal-04147998 , version 1 (01-07-2023)

Identifiants

Citer

François Dahmani, Suraj Krishna Ms, Jean Pierre Mutanguha. Hyperbolic hyperbolic-by-cyclic groups are cubulable. 2023. ⟨hal-04147998⟩
6 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More