Homemath.GRarXiv:2605.30163

A finitely presented group of non-uniform exponential growth

math.GR2026-05v1license

Abstract

We provide the first example of a finitely presented, and the first example of a simple, group of non-uniform exponential growth. The example is given by Thompson's group V.

Comments: 17 pages

Cite

@article{arxiv.2605.30163,
  title  = {A finitely presented group of non-uniform exponential growth},
  author = {Roman Sauer and Eduard Schesler},
  journal= {arXiv preprint arXiv:2605.30163},
  year   = {2026}
}