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

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.