Abstract
An elementary proof is given for the fact that, for every non-surface iwip automorphisms ϕ of a free group F N , the F N -action, on the cartesian product T+(ϕ) × T+(ϕ −1) of the (non-simplicial) forward limit ℝ-trees for ϕ and ϕ −1, is properly discontinuous. Alternative proofs, derived from deeper results, have been given by Bestvina-Feighn-Handel [3] and later by Levitt-Lustig [10]; compare also Guirardel [9].
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Lustig, M. (2010). The F N -action on the Product of the Two Limit Trees for an Iwip Automorphism. In: Bogopolski, O., Bumagin, I., Kharlampovich, O., Ventura, E. (eds) Combinatorial and Geometric Group Theory. Trends in Mathematics. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-9911-5_9
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DOI: https://doi.org/10.1007/978-3-7643-9911-5_9
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