Permutation representation
= Permutation representation
{wiki=Permutation_representation}
In the context of group theory, a **permutation representation** is a way of representing a group as a group of permutations. Specifically, if \\( G \\) is a group, a permutation representation of \\( G \\) is a homomorphism from \\( G \\) to the symmetric group \\( S_n \\), which is the group of all permutations of a set of \\( n \\) elements.