In this article, we construct partial periodic quotients of groups which have a non-elementary acylindrical action on a hyperbolic space. In particular, we provide infinite quotients of mapping class groups where a fixed power of every homeomorphism is identified with a periodic or reducible element.
Dans cet article, nous construisons des quotients partiellement périodiques de groupes admettant une action acylindrique sur un espace hyperbolique. En particulier, nous produisons des quotients infinis de groupes modulaires de surfaces, dans lesquelles une puissance fixée de tout homéomorphisme s’identifie avec un élément réductible ou un élément d’ordre fini.
Accepted:
Published online:
Keywords: Small cancellation theory, mapping class groups, hyperbolic spaces, periodic quotients
@article{AIF_2016__66_5_1773_0,
author = {Coulon, R\'emi B.},
title = {Partial periodic quotients of groups acting on a hyperbolic space},
journal = {Annales de l'Institut Fourier},
pages = {1773--1857},
publisher = {Association des Annales de l{\textquoteright}institut Fourier},
volume = {66},
number = {5},
year = {2016},
doi = {10.5802/aif.3050},
language = {en},
url = {https://aif.centre-mersenne.org/articles/10.5802/aif.3050/}
}
TY - JOUR AU - Coulon, Rémi B. TI - Partial periodic quotients of groups acting on a hyperbolic space JO - Annales de l'Institut Fourier PY - 2016 SP - 1773 EP - 1857 VL - 66 IS - 5 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.3050/ UR - https://doi.org/10.5802/aif.3050 DO - 10.5802/aif.3050 LA - en ID - AIF_2016__66_5_1773_0 ER -
%0 Journal Article %A Coulon, Rémi B. %T Partial periodic quotients of groups acting on a hyperbolic space %J Annales de l'Institut Fourier %D 2016 %P 1773-1857 %V 66 %N 5 %I Association des Annales de l’institut Fourier %U https://doi.org/10.5802/aif.3050 %R 10.5802/aif.3050 %G en %F AIF_2016__66_5_1773_0
Coulon, Rémi B. Partial periodic quotients of groups acting on a hyperbolic space. Annales de l'Institut Fourier, Volume 66 (2016) no. 5, pp. 1773-1857. doi : 10.5802/aif.3050. https://aif.centre-mersenne.org/articles/10.5802/aif.3050/
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