Multiplicative Lie Algebra Structures on a Group

The main aim of this paper is to classify the distinct multiplicative Lie algebra structures (up to isomorphism) on a given group. We also see that for a given group $G$, every homomorphism from the non-abelian exterior square $G \wedge G$to$G$givesamultiplicativeLiealgebrastructureon$G$ under certain conditions.