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Divergence functions of higher-dimensional Thompson's groups (2405.19923v1)

Published 30 May 2024 in math.GR

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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  1. Amenability of Thompson's group F
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Authors (1)

  1. Yuya Kodama
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