Prefer a chat interface with context about you and your work?
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 iterated Massey products in $H^*(BG;\mathbb {F}_2)$ 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 …