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/
BYU ScholarsArchive Citation
Housley, Matthew L., "Conjugacy Classes of the Piecewise Linear Group" (2006). Theses and Dissertations. 733.
https://scholarsarchive.byu.edu/etd/733
Date Submitted
2006-07-13
Document Type
Thesis
Handle
http://hdl.lib.byu.edu/1877/etd1442
Keywords
Piecewise linear group, thompson
Language
English