CAT(0) property and hyperbolicity of affine cactus groups

Authors: Takatoshi Hama

math.GRmath.GT2026-05v1license

Abstract

We show that the affine cactus group is a CAT $(0)$ group for all degrees. Furthermore, we show that the affine cactus group $AJ_3$ of degree three is a hyperbolic group.

Comments: 12 pages, 6 figures

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}
}

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