We prove that finitely generated virtually free groups are stable in permutations. As an application, we show that almost-periodic almost-automorphisms of labelled graphs are close to periodic automorphisms.
Classification :
20-XX
Mots-clés :
Free groups, permutation stability, graph of groups
Affiliations des auteurs :
Nir Lazarovich
1
;
Arie Levit
2
1
Technion – Israel Institute of Technology, Haifa, Israel
2
Tel Aviv University, Israel
Nir Lazarovich; Arie Levit. Virtually free groups are stable in permutations. Groups, geometry, and dynamics, Tome 17 (2023) no. 4, pp. 1417-1434. doi: 10.4171/ggd/735
@article{10_4171_ggd_735,
author = {Nir Lazarovich and Arie Levit},
title = {Virtually free groups are stable in permutations},
journal = {Groups, geometry, and dynamics},
pages = {1417--1434},
year = {2023},
volume = {17},
number = {4},
doi = {10.4171/ggd/735},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/735/}
}
TY - JOUR
AU - Nir Lazarovich
AU - Arie Levit
TI - Virtually free groups are stable in permutations
JO - Groups, geometry, and dynamics
PY - 2023
SP - 1417
EP - 1434
VL - 17
IS - 4
UR - http://geodesic.mathdoc.fr/articles/10.4171/ggd/735/
DO - 10.4171/ggd/735
ID - 10_4171_ggd_735
ER -
%0 Journal Article
%A Nir Lazarovich
%A Arie Levit
%T Virtually free groups are stable in permutations
%J Groups, geometry, and dynamics
%D 2023
%P 1417-1434
%V 17
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/735/
%R 10.4171/ggd/735
%F 10_4171_ggd_735
