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Conjugacy Classes of the Piecewise Linear GroupHousley, Matthew L. 13 July 2006 (has links) (PDF)
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.
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