Elementary abelian group

Commutative group in which all nonzero elements have the same order

In mathematics, specifically in group theory, an elementary abelian group is an abelian group in which all elements other than the identity have the same order. This common order must be a prime number, and the elementary abelian groups in which the common order is p are a particular kind of p-group. A group for which p = 2 is sometimes called a Boolean group.

This keyword could refer to multiple things. Here are some suggestions: