The conjugacy problem in Out(Fm) when the polynomial restrictions are non-growing
Group Theory
2026-04-28 v3
Abstract
We prove that the conjugacy problem in Out(Fm) is solvable for the class of outer automorphisms whose restrictions to their polynomial subgroups are of finite order. To do this, we first investigate the structure of suspensions of free groups by automorphisms whose outer class is of finite order. We then apply a reduction of our main result to certain problems on groups of this form.
Cite
@article{arxiv.2507.13050,
title = {The conjugacy problem in Out(Fm) when the polynomial restrictions are non-growing},
author = {Gabriel Bartlett},
journal= {arXiv preprint arXiv:2507.13050},
year = {2026}
}
Comments
Revised after referee comments, 20 pages