Elementary abelian group:E9

Definition
This elementary abelian group is defined in the following equivalent ways:


 * It is the member of family::elementary abelian group of prime-square order where the prime is three.
 * It is the additive group of the field of nine elements.
 * It is a direct product of two copies of the cyclic group of order three.

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

ElementaryAbelianGroup(9)

It can also be defined using GAP's DirectProduct and CyclicGroup functions:

DirectProduct(CyclicGroup(3),CyclicGroup(3))