"Conjugacy Classes of the Piecewise Linear Group" by Matthew L. Housley

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

Language

English

Included in

Mathematics Commons

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