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

DOI10.1090/S0002-9947-2013-05756-XzbMath1278.55026arXiv1105.1143MaRDI QIDQ2846981

Antonio Viruel, Albert Ruiz

Publication date: 4 September 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.1143

zbMATH Keywords

classifying spacecohomological invariantMassey product\(p\)-complete spacemaximal class group

Mathematics Subject Classification ID

Group rings (16S34) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Finite nilpotent groups, (p)-groups (20D15) Cohomology theory for linear algebraic groups (20G10)

Related Items

Geometry and Combinatorics via Right-Angled Artin Groups ⋮ The modular isomorphism problem: a survey ⋮ Abelian invariants and a reduction theorem for the modular isomorphism problem

Cites Work

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• On The Homotopy Type of 𝐵𝐺 for Certain Finite 2-Groups 𝐺
• Modular group algebras of 2–groups of maximal class
• Periodic Modules over Modular Group Algebras
• Massey Higher Products
• On spaces of self-homotopy equivalences of \(p\)-completed classifying spaces of finite groups and homotopy group extensions.

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