A Note on the Metric of Thompson's group V

2025/11/11 by José Burillo, Burillo, José, María José Felipe +1
Mathematics · #Advanced Operator Algebra Research #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2511.08518

openalex publication_date 2025/11/11 · openalex created_date 2025/11/13 · openalex updated_date 2026/07/28

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.

Citations

• The groups of Richard Thompson and complexity

Related

• Fast growth in Folner sets for Thompson's group F
• A note on a metric associated to certain finite groups
• Thompson's Group F is Not Kahler
• A new metric criterion for non-amenability III: Non-amenability of R.Thompson's group F
• A note on Shavgulidze's papers concerning the amenability problem for Thompson's group F