Pipe Diagrams for Thompson's Group F

We review the definition and standard description of Thompson's Group F. We define the set of pipe diagrams and show that this set forms a group isomorphic to F. We use pipe diagrams to prove two theorems about giving a minimal representation for an arbitrary element of F.

Bibliographic Details
Main Author: Peterson, Aaron L.
Format: Others
Published: BYU ScholarsArchive 2007
Subjects:
Online Access:https://scholarsarchive.byu.edu/etd/966
https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=1965&context=etd