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arXiv · 1105.1143

Cohomological uniqueness, Massey products and the modular isomorphism problem for 2-groups of maximal nilpotency class

Albert Ruiz·Antonio Viruel
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Abstract

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 $H^*(BG;\F_2)$ 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 the modular isomorphism problem for 2-groups of maximal nilpotency class.

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Albert Ruiz, Antonio Viruel. 2011-05-05. Cohomological uniqueness, Massey products and the modular isomorphism problem for 2-groups of maximal nilpotency class. https://doi.org/10.1090/s0002-9947-2013-05756-x

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