Schreier graphs of actions of Thompson's group \(F\) on the unit interval and on the Cantor set

DOI10.1007/s10711-014-9951-9zbMath1309.05094arXiv1105.4017OpenAlexW2063967677MaRDI QIDQ2339902

Dmytro Savchuk

Publication date: 14 April 2015

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.4017

zbMATH Keywords

Thompson groupsSchreier graphsSchreier dynamical systems

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items

On spectral properties of the Schreier graphs of the Thompson group 𝐹, Direct decompositions of groups of piecewise linear homeomorphisms of the unit interval, On Schreier graphs of gyrogroup actions, On the oriented Thompson subgroup F→3 and its relatives in higher Brown–Thompson groups, On the \(3\)-colorable subgroup \(\mathcal{F}\) and maximal subgroups of Thompson's group \(F\), On the stabilizers of finite sets of numbers in the R. Thompson group $F$, The Generation Problem in Thompson Group 𝐹, On subgroups of R. Thompson’s group $F$, Some topics in the dynamics of group actions on rooted trees., Random walks on random coset spaces with applications to Furstenberg entropy, Invariant random subgroups of lamplighter groups, Maximal von Neumann subalgebras arising from maximal subgroups, Confined subgroups of Thompson's group \(F\) and its embeddings into wobbling groups, Invariable generation of Thompson groups, Subgroup dynamics and $C^\ast$-simplicity of groups of homeomorphisms, Schreier graphs of spinal groups, Random walks on the discrete affine group, An integral weight realization theorem for subset currents on free groups

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