May 30, 2024Open Access

Divergence functions of higher-dimensional Thompson's groups

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Abstract

We prove that higher-dimensional Thompson's groups have linear divergence functions. By the work of Drutu, Mozes, and Sapir, this implies none of the asymptotic cones of nV has a cut-point.

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Yuya Kodama (Thu,) studied this question.

synapsesocial.com/papers/68e67bb1b6db643587605ff3 https://doi.org/https://doi.org/10.48550/arxiv.2405.19923

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