A commutator lemma for confined subgroups and applications to groups acting on rooted trees
DOI10.1090/tran/8965zbMath1526.20039arXiv2006.08677OpenAlexW3035126812WikidataQ124832130 ScholiaQ124832130MaRDI QIDQ6047150
Nicolás Matte Bon, Adrien Le Boudec
Publication date: 7 September 2023
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.08677
branch groupsgroups acting on rooted treesconfined subgroupsminimal Cantor actionsuniformly recurrent subgroupsgrowth of Schreier graphs of finitely generated groups
Subgroup theorems; subgroup growth (20E07) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Groups acting on trees (20E08)
Cites Work
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- Cantor systems, piecewise translations and simple amenable groups
- On subgroups of finite index in branch groups.
- Topological full groups of one-sided shifts of finite type
- Topological full groups of minimal subshifts with subgroups of intermediate growth
- The Liouville property for groups acting on rooted trees
- Free subgroups in groups acting on rooted trees
- On amenability of automata groups.
- Some topics in the dynamics of group actions on rooted trees.
- Confined subgroups in periodic simple finitary linear groups
- On codimension one foliations defined by closed one forms with singularities
- Projective topological spaces
- Schreier graphs of the Basilica group.
- Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
- Diagonal limits of finite alternating groups: confined subgroups, ideals, and positive definite functions.
- Free subgroups of branch groups.
- Rigidity of branch groups acting on rooted trees
- Full groups of bounded automaton groups
- Palindromic subshifts and simple periodic groups of intermediate growth
- Spectra of Schreier graphs of Grigorchuk's group and Schroedinger operators with aperiodic order
- Finite automata of polynomial growth do not generate a free group.
- Full groups of Cantor minimal systems
- Ideals in group algebras of simple locally finite groups of 1-type.
- On the separation profile of infinite graphs
- Bernoulli disjointness
- Commensurating actions for groups of piecewise continuous transformations
- Confined subgroups and high transitivity
- Solvable groups of interval exchange transformations
- Discontinuity-growth of interval-exchange maps
- Strong amenability and the infinite conjugacy class property
- Boundaries of reduced \(C^\ast\)-algebras of discrete groups
- Ergodic theory of interval exchange maps
- Asymptotic aspects of Schreier graphs and Hanoi Towers groups.
- Irreducible lattices, invariant means, and commensurating actions
- Extensions of amenable groups by recurrent groupoids
- On isomorphic groups and homeomorphic spaces
- Free groups of interval exchange transformations are rare
- A minimal Cantor set in the space of 3-generated groups.
- Uniformly recurrent subgroups
- Notes on the Schreier graphs of the Grigorchuk group
- Reconstruction of orbits of Cantor systems from full groups
- On Groups of Measure Preserving Transformations. I
- SOME REMARKS ON TOPOLOGICAL FULL GROUPS OF CANTOR MINIMAL SYSTEMS
- Invariant random subgroups of groups acting on rooted trees
- An intrinsic characterization of C*-simplicity
- Isomorphisms between diffeomorphism groups
- On the Reconstruction of Topological Spaces from Their Groups of Homeomorphisms
- Compressibility Properties in Topological Dynamics
- Subgroup dynamics and $C^\ast$-simplicity of groups of homeomorphisms
- Extensive amenability and an application to interval exchanges
- ORDERED BRATTELI DIAGRAMS, DIMENSION GROUPS AND TOPOLOGICAL DYNAMICS
- Confined Subgroups of Simple Locally Finite Groups and Ideals of their Group Rings
- Groups and Topological Dynamics
- Groups Covered By Permutable Subsets
- Commensurated subgroups and micro-supported actions (with an appendix by Dominik Francoeur)