Substitutional subshifts and growth of groups
Groups, geometry, and dynamics, Tome 19 (2025) no. 2, pp. 505-524

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DOI

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.
DOI : 10.4171/ggd/886
Classification : 20F69, 37B10
Mots-clés : groups of intermediate growth, substitutional subshifts, Schreier graphs, infinite simple groups

Volodymyr Nekrashevych  1

1 Texas A&M University, College Station, USA
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
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     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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