Elementary Abelian group

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In group theory an elementary Abelian group is a finite Abelian group, where every nontrivial element has order p where p is a prime.

By the classification of finite Abelian groups, every elementary Abelian group must be of the form

(Z/pZ)ⁿ

for n a positive integer. Here Z/pZ denotes the cyclic group of order p, and the notation means the n-fold Cartesian product.