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On minimality of two-bridge knots

Fumikazu Nagasato

Department of Mathematics, Meijo University, Tempaku, Nagoya 468-8502, Japan

E-mail Address: fukky@meijo-u.ac.jp

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Masaaki Suzuki

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

E-mail Address: macky@fms.meiji.ac.jp

Corresponding author.

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, and

Anh T. Tran

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

E-mail Address: att140830@utdallas.edu

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https://doi.org/10.1142/S0129167X17500203Cited by:5 (Source: Crossref)

Abstract

A knot is called minimal if its knot group admits epimorphisms onto the knot groups of only the trivial knot and itself. In this paper, we determine which two-bridge knot $𝔟 (p, q)$ is minimal where $q \leq 6$ or $p \leq 100$ .

Keywords:

AMSC: 57M25, 57M27

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