Hyperbolic groups containing subgroups of type $\mathscr{F}_{3}$ not $\mathscr{F}_{4}$ - Archive ouverte HAL
Article Dans Une Revue Journal of Differential Geometry Année : 2024

Hyperbolic groups containing subgroups of type $\mathscr{F}_{3}$ not $\mathscr{F}_{4}$

Claudio Llosa Isenrich
  • Fonction : Auteur
Bruno Martelli
  • Fonction : Auteur

Résumé

We give examples of hyperbolic groups which contain subgroups that are of type $\mathscr{F}_{3}$ but not of type $\mathscr{F}_{4}$. These groups are obtained by Dehn filling starting from a non-uniform lattice in ${\rm PO}(8,1)$ which was previously studied by Italiano, Martelli and Migliorini.

Dates et versions

hal-03478673 , version 1 (14-12-2021)

Identifiants

Citer

Claudio Llosa Isenrich, Bruno Martelli, Pierre Py. Hyperbolic groups containing subgroups of type $\mathscr{F}_{3}$ not $\mathscr{F}_{4}$. Journal of Differential Geometry, 2024, 127 (3), pp.1121-1147. ⟨10.4310/jdg/1721071498⟩. ⟨hal-03478673⟩
21 Consultations
0 Téléchargements

Altmetric

Partager

More