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Invariable Generation of Groups of Homeomorphisms

Neelam, Davide Perego, Matteo Tarocchi

math.GRarXiv:2610.19666

Abstract

We provide a sufficient condition for a group of homeomorphisms of a compact Hausdorff space to be non-invariably generated, generalizing previous results proved using the dynamics of a group's action. We exhibit new applications among Scott-Röver-Nekrashevych groups and among groups of tree automorphism of with (almost) locally prescribed actions.

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