Abstract

The piecewise linear group is the set of all piecewise linear orientation preserving homeomorphisms from the interval to itself under the operation of composition. We present here a complete set of invariants to classify the conjugacy classes of this group. Our approach to this problem relies on the factorization of elements into elements having only a single breakpoint.

Degree

MS

College and Department

Physical and Mathematical Sciences; Mathematics

Rights

http://lib.byu.edu/about/copyright/

Date Submitted

2006-07-13

Document Type

Thesis

Handle

http://hdl.lib.byu.edu/1877/etd1442

Keywords

Piecewise linear group, thompson

Included in

Mathematics Commons

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