Generic torsion-free groups and Rubin actions

Fuente: arXiv
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Main Authors: Koberda, Thomas, Lodha, Yash
Format: Preprint
Published: 2025
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author Koberda, Thomas
Lodha, Yash
author_facet Koberda, Thomas
Lodha, Yash
contents We use model theoretic forcing to prove that a generic countable torsion-free group does not admit any nontrivial locally moving action on a Hausdorff topological space, and yet admits a rich Rubin poset.
format Preprint
id arxiv_https___arxiv_org_abs_2503_11772
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Generic torsion-free groups and Rubin actions
Koberda, Thomas
Lodha, Yash
Group Theory
Geometric Topology
Logic
We use model theoretic forcing to prove that a generic countable torsion-free group does not admit any nontrivial locally moving action on a Hausdorff topological space, and yet admits a rich Rubin poset.
title Generic torsion-free groups and Rubin actions
topic Group Theory
Geometric Topology
Logic
url https://arxiv.org/abs/2503.11772