Mather invariants in groups of piecewise-linear homeomorphisms

Mathematics – Group Theory

Scientific paper

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8 pages, 4 diagrams, 1 figure; final version

Scientific paper

We describe the relation between two characterizations of conjugacy in groups
of piecewise-linear homeomorphisms, discovered by Brin and Squier in [2] and
Kassabov and Matucci in [5]. Thanks to the interplay between the techniques, we
produce a simplified point of view of conjugacy that allows us to easily
recover centralizers and lends itself to generalization.

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