Conjugacy, roots, and centralizers in Thompson's group F

2007/09/13 by Nick Gill, Gill, Nick, Ian Short +1
Mathematics · #20E45 #37E05 #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.0709.1987

openalex publication_date 2007/09/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We complete the program begun by Brin and Squier of characterising conjugacy in Thompson's group F using the standard action of F as a group of piecewise linear homeomorphisms of the unit interval.

Related

• The simultaneous conjugacy problem in groups of piecewise linear functions
• Conjugacy and Centralizers in Groups of Piecewise Projective Homeomorphisms
• Dynamics in Thompson's Group F
• Algorithms and Classification in Groups of Piecewise-Linear Homeomorphisms
• Centralizers in R. Thompson's group V_n