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Permutations, power operations, and the center of the category of racks. (English) Zbl 1396.57024

Racks and quandles are structures used in knot theory. In this paper the author defines the canonical automorphism of a rack and proves that this canonical automorphism generates the categorical center of a rack.

MSC:

57M27 Invariants of knots and \(3\)-manifolds (MSC2010)
18C10 Theories (e.g., algebraic theories), structure, and semantics
20N02 Sets with a single binary operation (groupoids)
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References:

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