On classification of quandles of cyclic type

Seiichi Kamada; Hiroshi Tamaru; Koshiro Wada

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arXiv · 1312.6917

On classification of quandles of cyclic type

Seiichi Kamada·Hiroshi Tamaru·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 $12$.

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Seiichi Kamada, Hiroshi Tamaru, Koshiro Wada. 2013-12-25. On classification of quandles of cyclic type. https://arxiv.org/abs/1312.6917

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