Normal subgroup
= Normal subgroup
{wiki=Normal_subgroup}
A **normal subgroup** is a special type of subgroup in the context of group theory, which is a branch of abstract algebra. Let's define it more precisely. Given a group \\( G \\) and a subgroup \\( N \\) of \\( G \\): 1. **Subgroup**: A subgroup \\( N \\) must itself be a group under the operation defined on \\( G \\).