Source: wikibot/permutation-groups
= Permutation groups
{wiki=Permutation_groups}
A **permutation group** is a mathematical structure consisting of a set of permutations that can be combined in a way that satisfies the properties of a group. Specifically, if you have a set \\( X \\), a permutation is a bijective function that rearranges the elements of \\( X \\). The collection of all possible permutations of a finite set \\( X \\) of size \\( n \\) is called the symmetric group, denoted as \\( S_n \\).