Divergence functions of higher-dimensional Thompson's groups
Group Theory
2025-01-01 v1
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 has a cut-point.
Cite
@article{arxiv.2405.19923,
title = {Divergence functions of higher-dimensional Thompson's groups},
author = {Yuya Kodama},
journal= {arXiv preprint arXiv:2405.19923},
year = {2025}
}
Comments
19 pages, 11 figures