Translation Equivalence in Free Groups

نویسندگان

  • ILYA KAPOVICH
  • VLADIMIR SHPILRAIN
  • Chris Leininger
چکیده

Motivated by the work of Leininger on hyperbolic equivalence of homotopy classes of closed curves on surfaces, we investigate a similar phenomenon for free groups. Namely, we study the situation when two elements g, h in a free group F have the property that for every free isometric action of F on an R-tree X the translation lengths of g and h on X are equal.

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تاریخ انتشار 2006