Generic torsion-free groups and Rubin actions

2025/03/14 by Koberda, Thomas, Lodha, Yash
#FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #Logic (math.LO)

paper · doi:10.48550/arxiv.2503.11772

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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