Invariable Generation of Groups of Homeomorphisms

Neelam; Davide Perego; Matteo Tarocchi

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arXiv · 2610.19666

Invariable Generation of Groups of Homeomorphisms

Neelam·Davide Perego·Matteo Tarocchi

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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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Neelam, Davide Perego, Matteo Tarocchi. 2026-10-14. Invariable Generation of Groups of Homeomorphisms. https://arxiv.org/abs/2610.19666

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