Racks and quandles
Sets with binary operations analogous to the Reidemeister moves used on knot diagrams / From Wikipedia, the free encyclopedia
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In mathematics, racks and quandles are sets with binary operations satisfying axioms analogous to the Reidemeister moves used to manipulate knot diagrams.
While mainly used to obtain invariants of knots, they can be viewed as algebraic constructions in their own right. In particular, the definition of a quandle axiomatizes the properties of conjugation in a group.