"Pipe Diagrams for Thompson's Group F" by Aaron L. Peterson

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

Language

English

Included in

Mathematics Commons

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