TY - JOUR
T1 - Translation equivalence in free groups
AU - Kapovich, Ilya
AU - Levitt, Gilbert
AU - Schupp, Paul
AU - Shpilrain, Vladimir
PY - 2007/4
Y1 - 2007/4
N2 - 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.
AB - 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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U2 - 10.1090/S0002-9947-06-03929-8
DO - 10.1090/S0002-9947-06-03929-8
M3 - Article
AN - SCOPUS:34248671347
SN - 0002-9947
VL - 359
SP - 1527
EP - 1546
JO - Transactions of the American Mathematical Society
JF - Transactions of the American Mathematical Society
IS - 4
ER -