Elementary abelian group

An elementary abelian group is an abelian group in which the order of every non-identity element is the same. #m/def/group Since this must must be a prime number , it follows that every elementary abelian group is a -group, and such groups may be considered a vector space over .

Notation

For a prime and , the (unique) elementary abelian group of order is denoted simply by , i.e.

#state/tidy | #lang/en | #SemBr