Abstract
AbstractWe describe the relation between two characterizations of conjugacy in groups of piecewise-linear homeomorphisms, discovered by Brin and Squier in [3] and Kassabov and Matucci in [6]. 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)20E4537E0537E10KeywordsPiecewise-linear homeomorphism groupsconjugacy invariant
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