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

Albert Ruiz; Antonio Viruel

doi:10.1090/S0002-9947-2013-05756-X

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

Albert Ruiz, Antonio Viruel

Research output: Contribution to journal › Article › Research › peer-review

3 Citations (Scopus)

Abstract

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. © 2012 American Mathematical Society.

Original language	English
Pages (from-to)	3729-3751
Journal	Transactions of the American Mathematical Society
Volume	365
Issue number	7
DOIs	https://doi.org/10.1090/S0002-9947-2013-05756-X
Publication status	Published - 1 Jul 2013

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title = "Cohomological uniqueness, massey products and the modular isomorphism problem for 2-groups of maximal nilpotency class",

abstract = "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. {\textcopyright} 2012 American Mathematical Society.",

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T1 - Cohomological uniqueness, massey products and the modular isomorphism problem for 2-groups of maximal nilpotency class

AU - Ruiz, Albert

AU - Viruel, Antonio

PY - 2013/7/1

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N2 - 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. © 2012 American Mathematical Society.

AB - 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. © 2012 American Mathematical Society.

UR - https://www.scopus.com/pages/publications/84876440064

U2 - 10.1090/S0002-9947-2013-05756-X

DO - 10.1090/S0002-9947-2013-05756-X

M3 - Article

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VL - 365

SP - 3729

EP - 3751

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 7

ER -

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

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