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/

Date Submitted

2007-07-12

Document Type

Thesis

Handle

http://hdl.lib.byu.edu/1877/etd1959

Keywords

Thompson's Group, Pipe Diagrams

Included in

Mathematics Commons

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