Quandles of cyclic type with several fixed points (Q2323819)

From MaRDI portal





scientific article; zbMATH DE number 7104366
Language Label Description Also known as
English
Quandles of cyclic type with several fixed points
scientific article; zbMATH DE number 7104366

    Statements

    Quandles of cyclic type with several fixed points (English)
    0 references
    0 references
    12 September 2019
    0 references
    Summary: 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.
    0 references

    Identifiers