Divergence function of the braided Thompson group

Yuya Kodama

doi:10.1215/21562261-10428532

Abstract

We prove that the braided Thompson group $B V$ has a linear divergence function. By the work of Druţu, Mozes, and Sapir [12], this implies none of the asymptotic cones of $B V$ has a cut point.

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Yuya Kodama. "Divergence function of the braided Thompson group." Kyoto J. Math. 63 (2) 435 - 470, May 2023. https://doi.org/10.1215/21562261-10428532

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Received: 14 December 2020; Revised: 6 July 2021; Accepted: 6 August 2021; Published: May 2023

First available in Project Euclid: 27 February 2023

MathSciNet: MR4593202

zbMATH: 07684572

Digital Object Identifier: 10.1215/21562261-10428532

Subjects:

Primary: 20F65

Keywords: asymptotic cones , braided Thompson group , divergence function

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