Commutators in finite p -groups with 2-generator derived subgroup

Let G be a finite p-group whose derived subgroup G′ can be generated by 2 elements. If G′ is abelian, Guralnick proved that every element of G′ is a commutator. In this paper, we prove that the condition that G′ should be abelian is not needed. Even more, we prove that every element of G′ is a commutator of the form [x, g] for afixed x ∊ G.