Dans cet article nous construisons un exemple de groupe qui n’est pas résiduellement fini et qui est muni d’une action uniformément propre sur un espace hyperbolique au sens de Gromov.
In this article we produce an example of a non-residually finite group which admits a uniformly proper action on a Gromov hyperbolic space.
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@article{JEP_2019__6__19_0,
author = {R\'emi Coulon and Denis Osin},
title = {A non-residually finite group acting uniformly properly on a hyperbolic space},
journal = {Journal de l{\textquoteright}\'Ecole polytechnique {\textemdash} Math\'ematiques},
pages = {19--30},
publisher = {\'Ecole polytechnique},
volume = {6},
year = {2019},
doi = {10.5802/jep.86},
mrnumber = {3896034},
zbl = {07003360},
language = {en},
url = {https://jep.centre-mersenne.org/articles/10.5802/jep.86/}
}
TY - JOUR AU - Rémi Coulon AU - Denis Osin TI - A non-residually finite group acting uniformly properly on a hyperbolic space JO - Journal de l’École polytechnique — Mathématiques PY - 2019 SP - 19 EP - 30 VL - 6 PB - École polytechnique UR - https://jep.centre-mersenne.org/articles/10.5802/jep.86/ DO - 10.5802/jep.86 LA - en ID - JEP_2019__6__19_0 ER -
%0 Journal Article %A Rémi Coulon %A Denis Osin %T A non-residually finite group acting uniformly properly on a hyperbolic space %J Journal de l’École polytechnique — Mathématiques %D 2019 %P 19-30 %V 6 %I École polytechnique %U https://jep.centre-mersenne.org/articles/10.5802/jep.86/ %R 10.5802/jep.86 %G en %F JEP_2019__6__19_0
Rémi Coulon; Denis Osin. A non-residually finite group acting uniformly properly on a hyperbolic space. Journal de l’École polytechnique — Mathématiques, Tome 6 (2019), pp. 19-30. doi : 10.5802/jep.86. https://jep.centre-mersenne.org/articles/10.5802/jep.86/
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