# Constant APS of an abelian group

## Definition

Let be an abelian group. The **constant APS** of is an APS whose member is , and where the concatenation map is the group operation.

The constant APS is an APS of groups but is not an IAPS of groups.

Let be an abelian group. The **constant APS** of is an APS whose member is , and where the concatenation map is the group operation.

The constant APS is an APS of groups but is not an IAPS of groups.