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Confined subgroups and high transitivity

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Confined subgroups and high transitivity
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7
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N. N.
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CC Attribution - NonCommercial - NoDerivatives 2.0 Generic:
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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.