Elementary abelian group
= Elementary abelian group
{wiki=Elementary_abelian_group}
An **elementary abelian group** is a specific type of group that is both abelian (commutative) and has a particular structure in which every non-identity element has an order of 2. This means that for every element \\( g \\) in the group, if \\( g \\neq e \\) (where \\( e \\) is the identity element of the group), then \\( g^2 = e \\).