We study the action of a relatively hyperbolic group on its boundary by methods of symbolic dynamics. We show that this dynamical system is expansive, and, under a condition on parabolic subgroups (satisfied in most examples), that it is finitely presented, meaning that it can be factorized through a subshift of finite type.
1
Université de Grenoble I, Saint-Martin-D'hères, France
2
Centre de Recerca Matemàtica, Bellaterra, Spain
François Dahmani; Asli Yaman. Symbolic dynamics and relatively hyperbolic groups. Groups, geometry, and dynamics, Tome 2 (2008) no. 2, pp. 165-184. doi: 10.4171/ggd/35
@article{10_4171_ggd_35,
author = {Fran\c{c}ois Dahmani and Asli Yaman},
title = {Symbolic dynamics and relatively hyperbolic groups},
journal = {Groups, geometry, and dynamics},
pages = {165--184},
year = {2008},
volume = {2},
number = {2},
doi = {10.4171/ggd/35},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/35/}
}
TY - JOUR
AU - François Dahmani
AU - Asli Yaman
TI - Symbolic dynamics and relatively hyperbolic groups
JO - Groups, geometry, and dynamics
PY - 2008
SP - 165
EP - 184
VL - 2
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.4171/ggd/35/
DO - 10.4171/ggd/35
ID - 10_4171_ggd_35
ER -
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%A Asli Yaman
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%J Groups, geometry, and dynamics
%D 2008
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%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/35/
%R 10.4171/ggd/35
%F 10_4171_ggd_35
