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Mather Invariants in Groups of Piecewise-linear Homeomorphisms

  • Francesco Matucci
Part of the Trends in Mathematics book series (TM)

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.

Mathematics Subject Classification (2000)

20E45 37E05 37E10 

Keywords

Piecewise-linear homeomorphism groups conjugacy invariant 

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References

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Copyright information

© Springer Basel AG 2010

Authors and Affiliations

  • Francesco Matucci
    • 1
  1. 1.Centre de Recerca MatemàticaBellaterra, BarcelonaSpain

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