Mather Invariants in Groups of Piecewise-linear Homeomorphisms
We describe the relation between two characterizations of conjugacy in groups of piecewise-linear homeomorphisms, discovered by Brin and Squier in  and Kassabov and Matucci in . 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.
Mathematics Subject Classification (2000)20E45 37E05 37E10
KeywordsPiecewise-linear homeomorphism groups conjugacy invariant
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