Permute

Notations

Several notations are widely used to represent permutations conveniently. The properties of permutations do not depend on the nature of the elements being permuted, only on their number, so one often considers the standard set ${\displaystyle \{1,2,\ldots ,n\}}$. Cycle notation is a popular choice, as it is compact and shows the permutation's structure clearly. This article will use cycle notation unless otherwise specified.