Cyclic permutation

A cyclic permutation is a permutation that shifts all elements of given ordered set by a fixed offset, with the elements shifted off the end inserted back at the beginning in the same order, i.e., cyclically. In lay terms, a rotation.

For example, (3,4,5,6,1,2) is a cyclic permutation of (1,2,3,4,5,6) and vice versa.

Stirling numbers of the first kind, s(nk) count the number of permutations of n elements with k disjoint cycles

See also: Caesar cipher

See also: Cyclic permutation, Caesar cipher, Disjoint, Mathematics, Ordered set, Permutation, Rotation, Stirling number