The action of the Steenrod algebra on the cohomology of \(p\)-compact groups

DOI10.2977/prims/1231263784zbMath1165.55007OpenAlexW2144838614MaRDI QIDQ1011989

Kuniyuki Ogi, Yutaka Hemmi, Hirokazu Nishinobu

Publication date: 14 April 2009

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1231263784

zbMATH Keywords

\(p\)-compact groupmod-\(p\) Steenrod algebrasimple \(p\)-compact group

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Loop spaces (55P35) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Homology and cohomology of (H)-spaces (57T25) Primary cohomology operations in algebraic topology (55S05)

Related Items (1)

Homotopy type and \(v_1\)-periodic homotopy groups of \(p\)-compact groups

Cites Work

• Quillen Grassmannians as non-modular homotopy fixed points
• Constructing modular classifying spaces
• On finite H-spaces given by sphere extensions of classical groups
• Homotopy associative finite H-spaces and the mod 3 reduced power operations
• Homotopical uniqueness of classifying spaces
• The realization of polynomial algebras as cohomology rings
• Torsion in H-spaces. II
• Finite H-spaces and algebras over the Steenrod algebra
• Homotopy fixed-point methods for Lie groups and finite loop spaces
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• On the 𝑝-compact groups corresponding to the 𝑝-adic reflection groups 𝐺(𝑞,𝑟,𝑛)
• Lie Groups and Products of Spheres
• Groupes de Lie et Puissances Reduites de Steenrod

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