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arXiv · 2405.19923

Divergence functions of higher-dimensional Thompson's groups

Yuya Kodama
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Abstract

We prove that higher-dimensional Thompson's groups have linear divergence functions. By the work of Dru\c{t}u, Mozes, and Sapir, this implies none of the asymptotic cones of $nV$ has a cut-point.

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Yuya Kodama. 2024-05-30. Divergence functions of higher-dimensional Thompson's groups. https://doi.org/10.2140/pjm.2024.333.309

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