Conjugacy, roots, and centralizers in Thompson's group $F$
Nick Gill, Ian Short
TL;DR
This paper advances the understanding of conjugacy in Thompson's group F by completing a program to characterize conjugacy using its action as piecewise linear homeomorphisms of the unit interval.
Contribution
It provides a complete characterization of conjugacy in Thompson's group F, building on prior work by Brin and Squier.
Findings
Complete characterization of conjugacy in F
Enhanced understanding of roots and centralizers in F
Clarification of the structure of Thompson's group F
Abstract
We complete the program begun by Brin and Squier of characterising conjugacy in Thompson's group using the standard action of as a group of piecewise linear homeomorphisms of the unit interval.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Finite Group Theory Research