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Invariable Generation of Groups of Homeomorphisms
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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BibTeX
@misc{neelam2026invariable,
title = {{Invariable Generation of Groups of Homeomorphisms}},
author = {Neelam and Davide Perego and Matteo Tarocchi},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.19666},
eprint = {2610.19666},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.19666},
}
RIS
TY - UNPB
TI - Invariable Generation of Groups of Homeomorphisms
AU - Neelam
AU - Davide Perego
AU - Matteo Tarocchi
PY - 2026
DA - 2026/10/14
PB - arXiv
DO - 10.48550/arxiv.2610.19666
UR - https://arxiv.org/abs/2610.19666
AB - 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.
ER -