Cohomological uniqueness, Massey products and the modular isomorphism problem for 2-groups of maximal nilpotency class
Algebraic Topology
2018-04-16 v2 Group Theory
Abstract
Let be a finite 2-group of maximal nilpotency class, and let be its classifying space. We prove that iterated Massey products in do characterize the homotopy type of 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.
Keywords
Cite
@article{arxiv.1105.1143,
title = {Cohomological uniqueness, Massey products and the modular isomorphism problem for 2-groups of maximal nilpotency class},
author = {Albert Ruiz and Antonio Viruel},
journal= {arXiv preprint arXiv:1105.1143},
year = {2018}
}