Confined subgroups of Thompson's group \(F\) and its embeddings into wobbling groups

DOI10.4171/GGD/604MaRDI QIDQ2245016

Maksym Chaudkhari

Publication date: 12 November 2021

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.05146

zbMATH Keywords

Schreier graphsThompson's group \(F\)confined subgroupswobbling groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Geometric group theory (20F65) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Cites Work

• Cantor systems, piecewise translations and simple amenable groups
• Introductory notes on Richard Thompson's groups
• Infinitely supported Liouville measures of Schreier graphs
• Schreier graphs of actions of Thompson's group \(F\) on the unit interval and on the Cantor set
• Invariant means for the wobbling group
• Extensions of amenable groups by recurrent groupoids
• Subgroup dynamics and $C^\ast$-simplicity of groups of homeomorphisms
• Extensive amenability and an application to interval exchanges
• Equidecomposability and discrepancy; a solution of Tarski's circle-squaring problem
• Non-triviality of the Poisson boundary of random walks on the group of Monod
• Thompson's Group F is Not Liouville
• On subgroups of R. Thompson’s group $F$

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