Geodesic
Finitely generated groups acting uniformly properly on hyperbolic space
Robert Kropholler1 ; Vladimir Vankov2
1University of Münster, Germany
2University of Bristol, UK
Groups, geometry, and dynamics, Tome 17 (2023) no. 1, pp. 101-109

Voir la notice de l'article provenant de la source EMS Press

DOI

We construct an uncountable sequence of groups acting uniformly properly on hyperbolic spaces. We show that only countably many of these groups can be virtually torsion-free. This gives new examples of groups acting uniformly properly on hyperbolic spaces that are not virtually torsion-free and cannot be subgroups of hyperbolic groups.
DOI : 10.4171/ggd/659
Classification : 20-XX
Mots-clés : Uniformly proper action, hyperbolic space, not virtually torsion-free

Robert Kropholler  1   ; Vladimir Vankov  2

1 University of Münster, Germany
2 University of Bristol, UK 
Robert Kropholler; Vladimir Vankov. Finitely generated groups acting uniformly properly on hyperbolic space. Groups, geometry, and dynamics, Tome 17 (2023) no. 1, pp. 101-109. doi: 10.4171/ggd/659
@article{10_4171_ggd_659,
     author = {Robert Kropholler and Vladimir Vankov},
     title = {Finitely generated groups acting uniformly properly on hyperbolic space},
     journal = {Groups, geometry, and dynamics},
     pages = {101--109},
     year = {2023},
     volume = {17},
     number = {1},
     doi = {10.4171/ggd/659},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/659/}
}
TY  - JOUR
AU  - Robert Kropholler
AU  - Vladimir Vankov
TI  - Finitely generated groups acting uniformly properly on hyperbolic space
JO  - Groups, geometry, and dynamics
PY  - 2023
SP  - 101
EP  - 109
VL  - 17
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4171/ggd/659/
DO  - 10.4171/ggd/659
ID  - 10_4171_ggd_659
ER  - 
%0 Journal Article
%A Robert Kropholler
%A Vladimir Vankov
%T Finitely generated groups acting uniformly properly on hyperbolic space
%J Groups, geometry, and dynamics
%D 2023
%P 101-109
%V 17
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/659/
%R 10.4171/ggd/659
%F 10_4171_ggd_659

Cité par Sources :