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

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For alternating groups on finite sets

Suppose n is a natural number satisfying n \ge 5. Then the Alternating group (?) A_n is a Group in which every element is a commutator (?)has the property that every element of the group can be written as a commutator of two elements of the group. In other words, every even permutation on n letters can be expressed as the commutator of two even permutations.

For finitary alternating groups on infinite sets

Any finitary alternating group on an infinite set is a group in which every element is a commutator.