Generic torsion-free groups and Rubin actions
Group Theory
2025-12-03 v2 Geometric Topology
Logic
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.
Cite
@article{arxiv.2503.11772,
title = {Generic torsion-free groups and Rubin actions},
author = {Thomas Koberda and Yash Lodha},
journal= {arXiv preprint arXiv:2503.11772},
year = {2025}
}
Comments
12 pages, to appear in Annals of Pure and Applied Logic