The Brown-Peterson homology and nilpotence of the infinite special orthogonal group

DOI10.1007/BF02571917zbMath0835.55013OpenAlexW2094046151MaRDI QIDQ5917663

Dung Yung Yan

Publication date: 6 September 1995

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174742

zbMATH Keywords

nilpotent elementsstable homotopyKervaire invariantBrown-Peterson homologyAdams spectral sequence for \(\text{BP}_ * \text{SO}\)Grassmannian of \(2m\) planes in \(R^{2m + k}\)stable orthogonal group

Mathematics Subject Classification ID

Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Stable homotopy groups (55Q10) Serre spectral sequences (55T10)

Cites Work

• Unnamed Item
• Nilpotence and stable homotopy theory. I
• On the cohomology of homogeneous spaces
• Homology comodules
• Algebraic cobordism and 𝐾-theory
• On 𝜋^{𝑆}_{*}(𝐵𝑂) and the Arf invariant of framed manifolds
• The homology and Morava K-theory of Ω 2 SU(n)

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