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Unbounded asymmetry of stretch factors
Authors:Spencer Dowdall  Ilya Kapovich  Christopher J Leininger
Institution:Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 West Green Street, Urbana, IL 61801, United States
Abstract:A result of Handel–Mosher guarantees that the ratio of logarithms of stretch factors of any fully irreducible automorphism of the free group FNFN and its inverse is bounded by a constant CNCN. In this short note, we show that this constant CNCN cannot be chosen independent of the rank N.
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