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On classification of quandles of cyclic type

Geometric Topology 2013-12-30 v1 Differential Geometry

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 1212.

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Cite

@article{arxiv.1312.6917,
  title  = {On classification of quandles of cyclic type},
  author = {Seiichi Kamada and Hiroshi Tamaru and Koshiro Wada},
  journal= {arXiv preprint arXiv:1312.6917},
  year   = {2013}
}

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14 pages