Research ArticleNo Access

On the braid index of a two-bridge knot

Masaaki Suzuki

Department of Frontier Media Science, Meiji University, 4-21-1 Nakano, Nakano-ku, Tokyo 164-8525, Japan

E-mail Address: mackysuzuki@meiji.ac.jp

Corresponding author.

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and

Anh T. Tran

https://orcid.org/0000-0003-1179-3088

Department of Mathematical Sciences, The University of Texas at Dallas Richardson, TX 75080-3021, USA

E-mail Address: att140830@utdallas.edu

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https://doi.org/10.1142/S0218216524500184Cited by:0 (Source: Crossref)

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.

Keywords:

AMSC: 57K10, 57K31

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