Confined subgroups and high transitivity

DOI10.5802/ahl.128OpenAlexW3111195921MaRDI QIDQ2136418

Nicolás Matte Bon, Adrien Le Boudec

Publication date: 10 May 2022

Published in: Annales Henri Lebesgue (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.03997

zbMATH Keywords

infinite permutation groupsHigman-Thompson groupshighly transitive actionsgroups of piecewise linear homeomorphismsconfined subgroups and uniformly recurrent subgroups

Mathematics Subject Classification ID

General theory for infinite permutation groups (20B07) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Subgroups of symmetric groups (20B35) Multiply transitive infinite groups (20B22)

Related Items (4)

A commutator lemma for confined subgroups and applications to groups acting on rooted trees ⋮ Two new families of finitely generated simple groups of homeomorphisms of the real line ⋮ On the action of the ${\varSigma }(2,3,7)$ homology sphere group on its space of left-orders ⋮ Second bounded cohomology of groups acting on 1-manifolds and applications to spectrum problems

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