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.
College and Department
Physical and Mathematical Sciences; Mathematics
BYU ScholarsArchive Citation
Housley, Matthew L., "Conjugacy Classes of the Piecewise Linear Group" (2006). Theses and Dissertations. 733.
Piecewise linear group, thompson