Confined subgroups of Thompson's group \(F\) and its embeddings into wobbling groups
type: Item
instance of: scholarly article
title: Confined subgroups of Thompson's group \(F\) and its embeddings into wobbling groups
DOI: 10.4171/GGD/604
author: Maksym Chaudkhari
published in: Groups, Geometry, and Dynamics
publication date: 2021-11-12T00:00:00Z
full work available at URL: https://arxiv.org/abs/1809.05146
review text: Summary: We obtain a characterisation of confined subgroups of Thompson's group \(F\). As a result, we deduce that the orbital graph of a point under an action of \(F\) has uniformly subexponential growth if and only if this point is fixed by the commutator subgroup. This allows us to prove non-embeddability of \(F\) into wobbling groups of graphs with uniformly subexponential growth.
Mathematics Subject Classification ID: 20F65
Mathematics Subject Classification ID: 20E07
Mathematics Subject Classification ID: 37B05
zbMATH DE Number: 7425888
zbMATH Keywords: Thompson's group \(F\)
zbMATH Keywords: Schreier graphs
zbMATH Keywords: confined subgroups
zbMATH Keywords: wobbling groups
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 7425888