Cycles

Cycles[{cyc1, cyc2, ...}] represents a permutation with disjoint cycles cyci.

Examples

Create a permutation from cycles:

Cycles[{{1, 3, 2}}]
(* Cycles[{{1, 3, 2}}] *)

Convert to list:

PermutationList[Cycles[{{1, 3, 2}}], 4]
(* {3, 1, 2, 4} *)

Please visit the official Wolfram Language Reference for more details.