Abstract
The minimum dilatation of pseudo-Anosov 5-braids is shown to be the largest zero $\lambda_5 \approx 1.72208$ of $x^4 - x^3 - x^2 - x + 1$, which is attained by $\sigma_1\sigma_2\sigma_3\sigma_4\sigma_1\sigma_2$.
Citation
Ji-Young Ham. Won Taek Song. "The Minimum Dilatation of Pseudo-Ansonov 5-Braids." Experiment. Math. 16 (2) 167 - 180, 2007.
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