Finiteness properties of injective resolutions of certain unstable modules over the Steenrod algebra and applications

DOI10.1007/BF01445199zbMath0751.55016WikidataQ114233962 ScholiaQ114233962MaRDI QIDQ1191425

Hans-Werner Henn

Publication date: 27 September 1992

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

Full work available at URL: https://eudml.org/doc/164858

zbMATH Keywords

injective resolutionSteenrod algebraunstable moduleunstable noetherian algebra

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Steenrod algebra (55S10)

Related Items (11)

Localizations of unstable \(A\)-modules and equivariant mod \(p\) cohomology ⋮ The Nilpotent filtration and the action of automorphisms on the cohomology of finite p-groups ⋮ Primitives and central detection numbers in group cohomology. ⋮ Nilpotence in group cohomology ⋮ Module structures and the derived functors of iterated loop functors on unstable modules over the Steenrod algebra ⋮ The Krull filtration of the category of unstable modules over the Steenrod algebra ⋮ On decompositions in homotopy theory ⋮ The structure of indecomposable injectives in generic representation theory ⋮ Induced maps in homology for \(p\)-toral compact Lie groups ⋮ Stable splittings of classifying spaces of 2-toral compact Lie groups ⋮ Endofiniteness in stable homotopy theory

Cites Work

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• Smith theory and the functor T
• Equivariant stable homotopy and Segal's Burnside ring conjecture
• Sur les foncteurs dérivés de la déstabilisation
• Nil-localization of unstable algebras over the Steenrod algebra
• Sur la structure des A-modules instables injectifs
• Stable homotopy

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