The Whitehead conjecture and splitting 𝐵(𝐙/2)^{𝐤}

DOI10.1090/S0273-0979-1982-15027-3zbMath0502.55011OpenAlexW2906774416WikidataQ123255155 ScholiaQ123255155MaRDI QIDQ3968167

Stephen A. Mitchell, Nicholas J. Kuhn, Stewart B. Priddy

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1090/s0273-0979-1982-15027-3

zbMATH Keywords

Steinberg idempotentsuspension spectraepimorphism of the Kahn-Priddy theoremsymmetric products of the sphere spectrumG. Whitehead's conjecture

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Stable homotopy theory, spectra (55P42) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Stable homotopy of spheres (55Q45) Symmetric products and cyclic products in algebraic topology (55S15)

Related Items (4)

The Goodwillie tower for \(S^1\) and Kuhn's theorem ⋮ On the Hurewicz image of the Steinberg summand \(M(n)\) ⋮ The Goodwillie tower and the EHP sequence ⋮ The modular Hecke algebra and Steinberg representation of finite Chevalley groups (with an appendix by Peter Landrock)

Cites Work

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• Cohomology mod \(p\) of the \(p\)-fold symmetric products of spheres
• Quasifaserungen und unendliche symmetrische Produkte
• The homology of the James-Hopf maps
• Prime Power Representations Of Finite Linear Groups
• Symmetric Product Spectra and Splittings of Classifying Spaces
• The transfer and stable homotopy theory

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