English

Divergence function of the braided Thompson group

Group Theory 2023-06-28 v2 Metric Geometry

Abstract

We prove that the braided Thompson group BVBV has a linear divergence function. By the work of Dru\c{t}u, Mozes, and Sapir, this leads none of asymptotic cones of BVBV has a cut-point.

Cite

@article{arxiv.2012.03785,
  title  = {Divergence function of the braided Thompson group},
  author = {Yuya Kodama},
  journal= {arXiv preprint arXiv:2012.03785},
  year   = {2023}
}

Comments

36 pages, 24 figures

R2 v1 2026-06-23T20:47:07.977Z