Source: wikibot/complemented-group
= Complemented group
{wiki=Complemented_group}
In the context of group theory, a complemented group is a specific type of mathematical structure, particularly within the study of finite groups. A group \\( G \\) is said to be **complemented** if, for every subgroup \\( H \\) of \\( G \\), there exists a subgroup \\( K \\) of \\( G \\) such that \\( K \\) is a complement of \\( H \\).