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 \( g^2 = e \).
Articles by others on the same topic
An elementary abelian -group is a finite abelian group in which every nonidentity element has order . It is equivalently a finite-dimensional vector space over under addition.