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