Feuilleter
no. 5
A note on Riley polynomials of 2-bridge knots
Teruaki Kitano1 ; Takayuki Morifuji2
1 Department of Information Systems Science, Faculty of Science and Engineering, Soka University, Tangi-cho 1-236, Hachioji, Tokyo 192-8577, Japan
2 Department of Mathematics, Hiyoshi Campus, Keio University, Yokohama 223-8521, Japan
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 26 (2017) no. 5, pp. 1211-1217.

Dans cette note nous montrons l’éxistence d’un epimorphism entre les groupes des noeuds à deux ponts par un argument élémentaire en utilisant le polynôme de Riley. Comme corollaire, nous donnons une classification des noeuds à deux ponts par polynômes de Riley.

In this short note we show the existence of an epimorphism between groups of 2-bridge knots by means of an elementary argument using the Riley polynomial. As a corollary, we give a classification of 2-bridge knots by Riley polynomials.

Reçu le :
Accepté le :
Publié le :
DOI : 10.5802/afst.1565
Classification : 57M25
Mots clés : Riley polynomial, $2$-bridge knot, epimorphism

Teruaki Kitano 1 ; Takayuki Morifuji 2

1 Department of Information Systems Science, Faculty of Science and Engineering, Soka University, Tangi-cho 1-236, Hachioji, Tokyo 192-8577, Japan
2 Department of Mathematics, Hiyoshi Campus, Keio University, Yokohama 223-8521, Japan
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Teruaki Kitano; Takayuki Morifuji. A note on Riley polynomials of 2-bridge knots. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 26 (2017) no. 5, pp. 1211-1217. doi : 10.5802/afst.1565. https://afst.centre-mersenne.org/articles/10.5802/afst.1565/

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