Geodesic
Tree-graded asymptotic cones
Alessandro Sisto1 orcid
1ETH Zürich, Switzerland
Groups, geometry, and dynamics, Tome 7 (2013) no. 3, pp. 697-735

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

DOI

We study the bilipschitz equivalence type of tree-graded spaces, showing that asymptotic cones of relatively hyperbolic groups (resp. asymptotic cones of groups containing a cut-point) only depend on the bilipschitz equivalence types of the pieces in the standard (resp. minimal) tree-graded structure. In particular, the asymptotic cones of many relatively hyperbolic groups do not depend on the scaling factor. We also describe the asymptotic cones as above “explicitly”. Part of these results were obtained independently and simultaneously by D. Osin and M. Sapir.
DOI : 10.4171/ggd/203
Classification : 20-XX, 03-XX
Mots-clés : Tree-graded, asymptotic cone, relatively hyperbolic

Alessandro Sisto  1

1 ETH Zürich, Switzerland 
Alessandro Sisto. Tree-graded asymptotic cones. Groups, geometry, and dynamics, Tome 7 (2013) no. 3, pp. 697-735. doi: 10.4171/ggd/203
@article{10_4171_ggd_203,
     author = {Alessandro Sisto},
     title = {Tree-graded asymptotic cones},
     journal = {Groups, geometry, and dynamics},
     pages = {697--735},
     year = {2013},
     volume = {7},
     number = {3},
     doi = {10.4171/ggd/203},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/203/}
}
TY  - JOUR
AU  - Alessandro Sisto
TI  - Tree-graded asymptotic cones
JO  - Groups, geometry, and dynamics
PY  - 2013
SP  - 697
EP  - 735
VL  - 7
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4171/ggd/203/
DO  - 10.4171/ggd/203
ID  - 10_4171_ggd_203
ER  - 
%0 Journal Article
%A Alessandro Sisto
%T Tree-graded asymptotic cones
%J Groups, geometry, and dynamics
%D 2013
%P 697-735
%V 7
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/203/
%R 10.4171/ggd/203
%F 10_4171_ggd_203

Cité par Sources :