Conjugacy Classes of the Piecewise Linear Group Conjugacy Classes of the Piecewise Linear Group

by Housley, Matthew L

Abstract (Summary)
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.
Bibliographical Information:


School:Brigham Young University

School Location:USA - Utah

Source Type:Master's Thesis

Keywords:piecewise linear group thompson


Date of Publication:06/28/2006

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