On singular equations over torsion-free groups
Group Theory
2025-07-10 v1
Abstract
We prove a Freiheitssatz for one-relator products of torsion-free groups, where the relator has syllable length at most 8. This result has applications to equations over torsion-free groups: in particular a singular equation of syllable length at most 18 over a torsion-free group has a solution in some overgroup.
Cite
@article{arxiv.2001.07634,
title = {On singular equations over torsion-free groups},
author = {Martin Edjvet and James Howie},
journal= {arXiv preprint arXiv:2001.07634},
year = {2025}
}
Comments
29 pages, 14 figures