What is another name for an abelian group?

I'm curious, what alternative terminology exists for an abelian group? Is there another name commonly used in the realm of mathematics or abstract algebra that refers to this specific type of group, where the operation is commutative and the order of the elements does not affect the result of the operation? I'm eager to learn if there's a synonym or alternate phrase that could be used interchangeably to describe an abelian group.