Elementary abelian group:E16

Definition
The elementary abelian group of order sixteen is defined in the following equivalent ways:


 * It is the member of family::elementary abelian group of order sixteen.
 * It is the additive group of a four-dimensional vector space over the field of two elements.
 * It is the additive group of the field of sixteen elements.
 * It is the direct product of four copies of cyclic group:Z2.
 * It is the direct product of two copies of the Klein four-group.
 * It is the member of family::Burnside group $$B(4,2)$$: the free group of rank four and exponent two.

Other descriptions
The group can also be described using GAP's ElementaryAbelianGroup function:

ElementaryAbelianGroup(16)