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arXiv · 2605.29422

CAT(0) property and hyperbolicity of affine cactus groups

Takatoshi Hama
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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.

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Takatoshi Hama. 2026-05-28. CAT(0) property and hyperbolicity of affine cactus groups. https://arxiv.org/abs/2605.29422

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