Bounded displacement permutations on tree-like spaces
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.