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.
College and Department
Physical and Mathematical Sciences; Mathematics
BYU ScholarsArchive Citation
Peterson, Aaron L., "Pipe Diagrams for Thompson's Group F" (2007). Theses and Dissertations. 966.
Thompson's Group, Pipe Diagrams