On The Homotopy Type of 𝐵𝐺 for Certain Finite 2-Groups 𝐺

DOI10.1090/S0002-9947-97-01692-9zbMath0945.55012MaRDI QIDQ3127262

Carles Broto, Ran Levi

Publication date: 8 April 1997

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

zbMATH Keywords

classifying spacescohomologySteenrod squaresBockstein spectral sequence

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Homotopy groups of special spaces (55Q52)

Related Items (5)

Symmetric products of a real curve and the moduli space of Higgs bundles ⋮ Cohomological uniqueness of some p-groups ⋮ The homotopy type of BG 2 Λ for some small matrix groups G ⋮ Cohomological uniqueness, Massey products and the modular isomorphism problem for $2$-groups of maximal nilpotency class ⋮ 𝑝-central groups and Poincaré duality

Cites Work

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• The mod-2 cohomology of metacyclic 2-groups
• Torsion in \(H\)-spaces
• Cohomology algebras with two generators
• Strong convergence of the Eilenberg-Moore spectral sequence
• Homology of classical groups over finite fields and their associated infinite loop spaces
• Homotopy classification of spaces with interesting cohomology and a conjecture of Cooke. I
• \(3\)-groups are not determined by their integral cohomology rings
• Fake 3-connected coverings of Lie groups
• The mod 2 cohomology rings of extra-special 2-groups and the spinor groups
• Homotopy limits, completions and localizations
• The Cohomology of the Groups of Order 32
• On a problem of M. P. Schützenberger
• The Cohomology of Extraspecial Groups
• Homological localization towers for groups and Π-modules

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