In 1939 P.Hall introduced the concept of isoclinism in order to classify solvable groups.The basic tool for this classification is the concept of nilpotent multiplier. Subsequently P.Hall introduced a more general notion of classifying group called `isologism\' for which the concept of generalized nilpotent multipliers was essentioal. In 1997 J.Burns and G.Ellis established the structure of the nilpotent multipliers of a perfect group using some homotopical concepts such as the nonabelian tensor product and the exterior product. In this talk we intend to generalize the results of Burns and Ellis but using quite different methods of proof.

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