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arXiv · 1804.09165

The pure cactus group is residually nilpotent

Jacob Mostovoy
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Abstract

We show that the pure cactus group $Γ_{n+1}$ is residually nilpotent and exhibit a surjective homomorphism $Γ_{n+1} \to (\mathbb{Z}/2\mathbb{Z})^{2^n-n(n+1)/2-1}$ whose kernel is residually torsion-free nilpotent.

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Jacob Mostovoy. 2018-04-24. The pure cactus group is residually nilpotent. https://arxiv.org/abs/1804.09165

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