A Note on the Metric of Thompson's group V
Jos\'e Burillo, Marc Felipe

TL;DR
This paper improves the known bounds on the word metric for Thompson's group V, aligning it with existing bounds for groups F and T, thereby advancing understanding of these algebraic structures.
Contribution
It introduces a new, tighter bound on the word metric for Thompson's group V, refining previous results from 2004.
Findings
New bound on the word metric for Thompson's group V
Bound matches known bounds for groups F and T
Enhances understanding of group metric properties
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
