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math.GR2025
Linearity criteria for automorphism groups of malabelian groups
Thomas Koberda, Mark Pengitore
Let be a finitely generated malabelian group, let be a finitely generated subgroup, and let denote the preimage of in . We…
math.GR2025
Elementary equivalence and diffeomorphism groups of smooth manifolds
Sang-hyun Kim, Thomas Koberda, J. de la Nuez González
Let and be smooth manifolds, with closed and connected. If the --diffeomorphism group of is elementarily equivalent to the --diffeomorphism group of f…
math.GR2025
Generic torsion-free groups and Rubin actions
Thomas Koberda, Yash Lodha
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 ad…