Abstract
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.
Degree
MS
College and Department
Physical and Mathematical Sciences; Mathematics
Rights
http://lib.byu.edu/about/copyright/
BYU ScholarsArchive Citation
Peterson, Aaron L., "Pipe Diagrams for Thompson's Group F" (2007). Theses and Dissertations. 966.
https://scholarsarchive.byu.edu/etd/966
Date Submitted
2007-07-12
Document Type
Thesis
Handle
http://hdl.lib.byu.edu/1877/etd1959
Keywords
Thompson's Group, Pipe Diagrams
Language
English