Substitutional subshifts and growth of groups
Groups, geometry, and dynamics, Tome 19 (2025) no. 2, pp. 505-524
Voir la notice de l'article provenant de la source EMS Press
We show how to use symbolic dynamics of Schreier graphs to embed the Grigorchuk group into a simple torsion group of intermediate growth and to construct a continuum of growth types of simple torsion groups.
Classification :
20F69, 37B10
Mots-clés : groups of intermediate growth, substitutional subshifts, Schreier graphs, infinite simple groups
Mots-clés : groups of intermediate growth, substitutional subshifts, Schreier graphs, infinite simple groups
Affiliations des auteurs :
Volodymyr Nekrashevych  1
Volodymyr Nekrashevych. Substitutional subshifts and growth of groups. Groups, geometry, and dynamics, Tome 19 (2025) no. 2, pp. 505-524. doi: 10.4171/ggd/886
@article{10_4171_ggd_886,
author = {Volodymyr Nekrashevych},
title = {Substitutional subshifts and growth of groups},
journal = {Groups, geometry, and dynamics},
pages = {505--524},
year = {2025},
volume = {19},
number = {2},
doi = {10.4171/ggd/886},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/886/}
}
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