Geodesic
Quandles of cyclic type with several fixed points
António Lages ; Pedro Lopes1
1University of Lisbon
The electronic journal of combinatorics, Tome 26 (2019) no. 3
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A quandle of cyclic type of order $n$ with $f$ (greater than 1) fixed points is such that, by definition, each of its permutations splits into $f$ cycles of length 1 and one cycle of length $n-f$. In this article we prove that there is only one such connected quandle, up to isomorphism. This is a quandle of order 6 and 2 fixed points, known in the literature as octahedron quandle.
DOI : 10.37236/8544
Classification : 20N02

António Lages    ; Pedro Lopes  1

1 University of Lisbon 
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     author = {Ant\'onio Lages and Pedro Lopes},
     title = {Quandles of cyclic type with several fixed points},
     journal = {The electronic journal of combinatorics},
     year = {2019},
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     number = {3},
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António Lages; Pedro Lopes. Quandles of cyclic type with several fixed points. The electronic journal of combinatorics, Tome 26 (2019) no. 3. doi: 10.37236/8544

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