COHOMOLOGICAL UNIQUENESS, MASSEY PRODUCTS AND THE MODULAR ISOMORPHISM PROBLEM FOR 2-GROUPS OF MAXIMAL NILPOTENCY CLASS.

Let G be a finite 2-group of maximal nilpotency class, and let BG be its classifying space. We prove that iteratedMassey products in H*(BG; F2) do characterize the homotopy type of BG among 2-complete spaces with the same cohomological structure. As a consequence we get an alternative proof of the modular isomorphism problem for 2-groups of maximal nilpotency class. [ABSTRACT FROM AUTHOR]