Elementary abelian group of prime-cube order

Definition
Let $$p$$ be a prime number. The elementary abelian group of order $$p^3$$, denoted $$E_{p^3}$$, is the elementary abelian group whose order is $$p^3$$. In other words, it is (up to isomorphism) the external direct product of three copies of the group of prime order.

Alternative descriptions
The group can also be defined using GAP's ElementaryAbelianGroup function:

ElementaryAbelianGroup(p^3)