The mod 2 Hopf ring for connective Morava \(K\)-theory

DOI10.1007/s40062-015-0113-zzbMath1362.55013OpenAlexW1819501771MaRDI QIDQ331941

Paul Thomas Pearson

Publication date: 27 October 2016

Published in: Journal of Homotopy and Related Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40062-015-0113-z

zbMATH Keywords

Hopf ringDieudonné ringMorava \(K\)-theory, Brown-Gitler spectra

Mathematics Subject Classification ID

Infinite loop spaces (55P47) Generalized cohomology and spectral sequences in algebraic topology (55T25)

Cites Work

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• The connective real \(K\)-theory of Brown-Gitler spectra
• The Steenrod algebra and its dual
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• Morava K-theory of double loop spaces of spheres
• A new infinite family in \(_2\pi^s_1\)
• The Hopf ring for complex cobordism
• Coalgebraic algebra
• Hopf rings in algebraic topology
• The Morava \(K\)-theory of spaces related to \(BO\)
• Dieudonné modules and \(p\)-divisible groups associated with Morava \(kK\)-theory of Eilenberg-Mac Lane spaces
• The mod-\(p\) lower central series and the Adams spectral sequence
• Etude de la catégorie des algèbres de Hopf commutatives connexes sur un corps. (Study of the category of connected Abelian Hopf algebras over a field)
• A spectrum whose cohomology is a certain cyclic module over the Steenrod algebra
• Odd primary infinite families in stable homotopy theory
• The homology and Morava K-theory of Ω 2 SU(n)
• On the Stable Decomposition of Ω 2 S r+2

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