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Appears in collection : Algebraic and Combinatorial Invariants of Subshifts and Tilings / Invariants combinatoires et algébriques des décalages et des pavages

A subgroup of a group is confined if the closure of its conjugacy class in the Chabauty space does not contain the trivial subgroup. Such subgroups arise naturally as stabilisers for non-free actions on compact spaces. I will explain a result establishing a relation between the confined subgroup of a group with its highly transitive actions. We will see how this result allows to understand the highly transitive actions of a class of groups of dynamical origin. This is joint work with Adrien Le Boudec.

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Citation data

  • DOI 10.24350/CIRM.V.19697503
  • Cite this video Matte Bon, Nicolás (11/01/2021). Confined subgroups and high transitivity. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19697503
  • URL https://dx.doi.org/10.24350/CIRM.V.19697503

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