Is an abelian group simple?

Could you please clarify for me if an abelian group is necessarily simple? I understand that an abelian group is a group where the operation is commutative, but I'm unsure if this property alone implies simplicity. Are there any specific conditions or properties that an abelian group must possess in order to be considered simple, or are there examples of abelian groups that are not simple? I'm particularly interested in understanding the relationship between abelian groups and simplicity in the context of group theory.