Generalized torsion in amalgams
Group Theory
2025-04-14 v1
Abstract
We give a condition sufficient to ensure that an amalgam of groups is generalized torsion-free. As applications, we construct a closed 3-manifold whose fundamental group is generalized torsion-free and non bi-orderable; a one-relator group which is generalized torsion-free and non bi-orderable; and a group which is generalized torsion-free and non left-orderable.
Cite
@article{arxiv.2504.08084,
title = {Generalized torsion in amalgams},
author = {Tommy Wuxing Cai and Adam Clay},
journal= {arXiv preprint arXiv:2504.08084},
year = {2025}
}
Comments
50 pages, 1 figure,