Rotation Numbers of Elements in Thompson's Group \bf T

2016/09/03 by Jeffrey Diller, Diller, Jeffrey, Jan-Li Lin +1
Computer Science · Mathematics · #37E10 #Advanced Combinatorial Mathematics #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #math.DS #math.GR #msc:37E10 #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1609.00771

openalex publication_date 2016/09/03 · arxiv created 2016/09/28 · arxiv updated 2016/09/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a simple combinatorial proof that the rotation number for each element in Thompson's group \bf T is rational.

Related

• Twisted conjugacy classes in R. Thompson's group F
• Dynamics in Thompson's Group F
• Conjugacy, roots, and centralizers in Thompson's group F
• A note on stable commutator length in braided Ptolemy-Thompson groups
• Interpreting the arithmetic in Thompson's group F