On the braid index of a two-bridge knot (2310.02483v1)

Published 3 Oct 2023 in math.GT

Abstract: In this paper, we consider two properties on the braid index of a two-bridge knot. We prove an inequality on the braid indices of two-bridge knots if there exists an epimorphism between their knot groups. Moreover, we provide the average braid index of all two-bridge knots with a given crossing number.

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