Open Access
November 2022 Hidden symmetries of hyperbolic links
Han Yoshida
Proc. Japan Acad. Ser. A Math. Sci. 98(9): 73-77 (November 2022). DOI: 10.3792/pjaa.98.014


W. D. Neumann and A. W. Reid conjectured that the figure-eight knot and the two dodecahedral knots are the only hyperbolic knots admitting hidden symmetries. We construct an $n$-component hyperbolic link whose complement admits hidden symmetries for any $n\ge 4$.


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Han Yoshida. "Hidden symmetries of hyperbolic links." Proc. Japan Acad. Ser. A Math. Sci. 98 (9) 73 - 77, November 2022.


Published: November 2022
First available in Project Euclid: 31 October 2022

MathSciNet: MR4505376
zbMATH: 1503.57005
Digital Object Identifier: 10.3792/pjaa.98.014

Primary: 57M25

Keywords: commensurator , hidden symmetry , hyperbolic link

Rights: Copyright © 2022 The Japan Academy

Vol.98 • No. 9 • November 2022
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