Bounded displacement permutations on tree-like spaces

2025/04/30 by Samuel M. Corson, Corson, Samuel M.
Engineering · Computer Science · Mathematics · #Advanced Numerical Analysis Techniques #Computational Geometry and Mesh Generation #Advanced Topology and Set Theory

paper · pdf · doi:10.48550/arxiv.2504.21496

Abstract

It is shown that if a metric space exhibits certain finiteness and tree-like properties, then its group of bounded displacement does not include a subgroup isomorphic to the dyadic rational numbers. This extends a result of N. M. Suchkov, A. A. Shlepkin, and D. A. Taysnyov.

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