Both of the following equivalent commands create a one-dimensional affine special linear group over the field with elements.
It is clearly a cyclic group of order . In fact, the one-dimensional affine special linear groups are all elementary abelian because, the one-dimensional special linear group being trivial, they are isomorphic to the additive groups of their natural modules.
The two-dimensional affine special linear group over a field with elements is isomorphic to another familiar group.