Bounded displacement permutations on tree-like spaces
Group Theory
2025-05-06 v2 Combinatorics
Abstract
It is shown that if a metric space exhibits certain finiteness and tree-like properties, then elements of its group of bounded displacement which are infinitely divisible are also torsion. This extends a result of N. M. Suchkov, A. A. Shlepkin, and D. A. Taysnyov.
Keywords
Cite
@article{arxiv.2504.21496,
title = {Bounded displacement permutations on tree-like spaces},
author = {Samuel M. Corson},
journal= {arXiv preprint arXiv:2504.21496},
year = {2025}
}