Cohomological Uniqueness, Massey Products and the Modular Isomorphism Problem for 2-groups of Maximal Nilpotency Class

نویسندگان

  • ALBERT RUIZ
  • ANTONIO VIRUEL
چکیده

Let G be a finite 2-group of maximal nilpotency class, and let BG be its classifying space. We prove that iterated Massey products inH∗(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.

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تاریخ انتشار 2013