On minimality of two-bridge knots-Reference-Cited by-同舟云学术

On minimality of two-bridge knots

Published:2017-03 Issue:03 Volume:28 Page:1750020
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Nagasato Fumikazu¹,Suzuki Masaaki²,Tran Anh T.³

Affiliation:

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

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

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

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 [Formula: see text] is minimal where [Formula: see text] or [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X17500203

Reference16 articles.

1. Presentation length and Simon’s conjecture

2. Simon’s conjecture for two-bridge knots

3. On character varieties, sets of discrete characters, and nonzero degree maps

4. SU(2)-representation spaces for two-bridge knot groups

5. G. Burde, H. Zieschang and M. Heusener, Knots, De Gruyter Studies in Mathematics, 5. De Gruyter, Berlin, 2014. xiv+417 pp.

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