Tokyo Journal of Mathematics

On Classification of Quandles of Cyclic Type

Seiichi KAMADA, Hiroshi TAMARU, and Koshiro WADA

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Abstract

In this paper, we study quandles of cyclic type, which form a particular subclass of finite quandles. The main result of this paper describes the set of isomorphism classes of quandles of cyclic type in terms of certain cyclic permutations. By using our description, we give a direct classification of quandles of cyclic type with cardinality up to 12.

Article information

Source
Tokyo J. Math., Volume 39, Number 1 (2016), 157-171.

Dates
First available in Project Euclid: 30 March 2016

Permanent link to this document
https://projecteuclid.org/euclid.tjm/1459367262

Digital Object Identifier
doi:10.3836/tjm/1459367262

Mathematical Reviews number (MathSciNet)
MR3543136

Zentralblatt MATH identifier
1353.57010

Subjects
Primary: 57M25: Knots and links in $S^3$ {For higher dimensions, see 57Q45}
Secondary: 53C35: Symmetric spaces [See also 32M15, 57T15]

Citation

KAMADA, Seiichi; TAMARU, Hiroshi; WADA, Koshiro. On Classification of Quandles of Cyclic Type. Tokyo J. Math. 39 (2016), no. 1, 157--171. doi:10.3836/tjm/1459367262. https://projecteuclid.org/euclid.tjm/1459367262


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