We 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.
Matucci, F. (2010). Mather invariants in groups of piecewise-linear homeomorphisms. In Combinatorial and Geometric Group Theory (pp. 251-260). Springer International Publishing [10.1007/978-3-7643-9911-5_10].
Mather invariants in groups of piecewise-linear homeomorphisms
Matucci, F
2010
Abstract
We 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.
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