CAT(0) property and hyperbolicity of affine cactus groups
Group Theory
2026-05-29 v1 Geometric Topology
Abstract
We show that the affine cactus group is a CAT group for all degrees. Furthermore, we show that the affine cactus group of degree three is a hyperbolic group.
Cite
@article{arxiv.2605.29422,
title = {CAT(0) property and hyperbolicity of affine cactus groups},
author = {Takatoshi Hama},
journal= {arXiv preprint arXiv:2605.29422},
year = {2026}
}
Comments
12 pages, 6 figures