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arXiv · 2503.11772

Generic torsion-free groups and Rubin actions

Thomas Koberda·Yash Lodha
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Abstract

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.

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Thomas Koberda, Yash Lodha. 2025-03-14. Generic torsion-free groups and Rubin actions. https://arxiv.org/abs/2503.11772

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