Cyclic permutation
TYPE OF (MATHEMATICAL) PERMUTATION WITH NO FIXED ELEMENT
Transposition (mathematics); Circular permutation; Adjacent transposition; Circular Permutation; Anticyclic permutation
In mathematics, and in particular in group theory, a cyclic permutation (or cycle) is a permutation of the elements of some set X which maps the elements of some subset S of X to each other in a cyclic fashion, while fixing (that is, mapping to themselves) all other elements of X. If S has k elements, the cycle is called a k-cycle.