model theory 1permutation groups 1sharp transitivity 1ultrahomogeneous structures 1virtually free groups 1
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math.GR2026
Two generalisations of sharp k-transitivity
J. de la Nuez González, Rob Sullivan
The paper introduces two extensions of sharply k‑transitive group actions—one based on subgroups of the symmetric group and another on relational structures—and determines when suc…
math.GR2025
First order rigidity of homeomorphism groups of manifolds
Sang-hyun Kim, Thomas Koberda, J. de la Nuez González
For every compact, connected manifold , we prove the existence of a sentence in the language of groups such that the homeomorphism group of another compact manifold s…
math.GR2024
Locally approximating groups of homeomorphisms of manifolds
Thomas Koberda, J. de la Nuez González
Let be a compact, connected manifold of positive dimension and let be \emph{locally approximating} in the sense that for all open $U\subseteq…