Vanishing lines for modules over the Steenrod algebra

DOI10.1016/0022-4049(81)90104-3zbMath0469.55012OpenAlexW2125172110MaRDI QIDQ1157049

Haynes R. Miller, Clarence W. jun. Wilkerson

Publication date: 1981

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(81)90104-3

zbMATH Keywords

cohomology of modules over sub-Hopf algebras of the mod-p Steenrod algebraMilnor generators of the dual of the Steenrod algebra

Mathematics Subject Classification ID

Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Steenrod algebra (55S10) Adams spectral sequences (55T15) Applied homological algebra and category theory in algebraic topology (55U99) Hopf algebras (aspects of homology and homotopy of topological groups) (57T05)

Related Items

\(\nu_n\) telescopes and the Adams spectral sequence, Spectral sequences for the classification of extensions of Hopf algebras, \(v_ 1\)-periodicity in the unstable Adams spectral sequence, Nilpotence for modules over the mod 2 Steenrod algebra. I, On the Double Suspension Homomorphism at Odd Primes, An Algebraic Analogue of a Conjecture of G. W. Whitehead, Polynomial invariants of finite groups. A survey of recent developments, Self-maps of modules over the Steenrod algebra, Small subalgebras of Steenrod and Morava stabilizer algebras, Localizing the \(E_2\) page of the Adams spectral sequence, Vanishing lines in generalized Adams spectral sequences are generic, Redshift and multiplication for truncated Brown-Peterson spectra, Self maps of spectra, a theorem of J. Smith, and Margolis' killing construction

Cites Work

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• A new homology theory. I, II
• The Cohomology Algebras of Finite Dimensional Hopf Algebras
• The factorization of cyclic reduced powers by secondary cohomology operations
• Zeroes of the Cohomology of the Steenrod Algebra
• Modules over the Steenrod algebra
• Modules over the Steenrod algebra