Group in which every element is a commutator

Definition
A group in which every element is a commutator is a group in which every element is a commutator.

Note that this property does not depend on whether we use the left or right convention for commutators.

Examples
All finite simple non-abelian groups have this property (though this is far from obvious, and relies on the classification of finite simple groups). In particular:


 * Alternating group of degree at least five implies every element is a commutator