English

A Note on the Metric of Thompson's group V

Group Theory 2026-04-14 v2

Abstract

In this short note, a bound on the word metric for Thompson's group V given by Birget in 2004 is improved to a new bound, which agrees with the known bounds for Thompson's groups F and T.

Keywords

Cite

@article{arxiv.2511.08518,
  title  = {A Note on the Metric of Thompson's group V},
  author = {José Burillo and Marc Felipe},
  journal= {arXiv preprint arXiv:2511.08518},
  year   = {2026}
}

Comments

6 pages, 3 figures