Unbounded asymmetry of stretch factors
classification
🧮 math.GR
keywords
constantfactorsstretchasymmetryautomorphismboundedcannotchosen
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A result of Handel-Mosher guarantees that the ratio of logarithms of stretch factors of any fully irreducible automorphism of the free group $F_N$ and its inverse is bounded by a constant $C_N$. In this short note we show that this constant $C_N$ cannot be chosen independent of $N$.
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