Some new CAT(0) free-by-cyclic groups
Group Theory
2022-09-13 v3
Abstract
We show the existence of several new infinite families of polynomially-growing automorphisms of free groups whose mapping tori are CAT(0) free-by-cyclic groups. Such mapping tori are thick, and thus not relatively hyperbolic. These are the first families comprising infinitely many examples for each rank of the nonabelian free group; they contrast strongly with Gersten's example of a thick free-by-cyclic group which cannot be a subgroup of a CAT(0) group.
Cite
@article{arxiv.1909.03097,
title = {Some new CAT(0) free-by-cyclic groups},
author = {Rylee Alanza Lyman},
journal= {arXiv preprint arXiv:1909.03097},
year = {2022}
}
Comments
7 pages, 2 figures; v2: the original paper has been split in two, with the other half (containing construction of train track maps on graphs of groups) to appear; v3: minor revisions according to referee comments