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Brigham Young University - Provo

Conjugacy Classes of the Piecewise Linear Group

Abstract

dc:description.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

thesis:*
Name thesis:degree_name
MS
Grantor dc:publisher
Brigham Young University - Provo

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Housley, Matthew L.

Subjects

dc:subject × 3

Rights

Language dc:language
English

Identifiers

dc:identifier.*
Repository record dc:identifier
https://scholarsarchive.byu.edu/etd/733
OAI identifier oai:identifier
oai:scholarsarchive.byu.edu:etd-1732

Chain of custody

source
Harvested from
Brigham Young University
Base URL
scholarsarchive.byu.edu/do/oai/
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
citation

Housley, Matthew L.. Conjugacy Classes of the Piecewise Linear Group. Brigham Young University - Provo, https://scholarsarchive.byu.edu/etd/733