Localizations of unstable \(A\)-modules and equivariant mod \(p\) cohomology

DOI10.1007/BF01446619zbMath0869.55016OpenAlexW2318590559MaRDI QIDQ1345933

Hans-Werner Henn, Jean Lannes, Lionel Schwartz

Publication date: 2 April 1995

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

Full work available at URL: https://eudml.org/doc/165281

zbMATH Keywords

compact Lie groupcohomology of classifying spaceselementary abelian subgroupsunstable Steenrod modules

Mathematics Subject Classification ID

Equivariant homology and cohomology in algebraic topology (55N91) Steenrod algebra (55S10) Connections of group theory with homological algebra and category theory (20J99)

Related Items (27)

On the Castelnuovo-Mumford regularity of the cohomology ring of a group ⋮ On the realization of unstable modules ⋮ The topological nilpotence degree of a Noetherian unstable algebra ⋮ Depth and transfer maps in the cohomology of groups ⋮ Depth and the cohomology of wreath products ⋮ Generic representations of the finite general linear groups and the Steenrod algebra. III ⋮ On Farrell-Tate cohomology of \(\mathrm{SL}_2\) over \(S\)-integers ⋮ On stratification for spaces with noetherian mod p cohomology ⋮ Théorie de Smith algébrique et classification des $H\sp*V$-$\cal{U}$-injectifs ⋮ On unstable modules over the Dickson algebras, the Singer functors \(R_{s}\) and the functors \(Fix_{S}\) ⋮ The Nilpotent filtration and the action of automorphisms on the cohomology of finite p-groups ⋮ Depth and detection for Noetherian unstable algebras ⋮ Cohomological detection and regular elements in group cohomology ⋮ Unnamed Item ⋮ On the mod-2 cohomology of \(\mathrm{SL}_3(\mathbb{Z}[\frac{1}{2},i)\)] ⋮ Primitives and central detection numbers in group cohomology. ⋮ Centralizers of elementary Abelian \(p\)-subgroups and mod-\(p\) cohomology of profinite groups ⋮ A refinement of a conjecture of Quillen. ⋮ Lannes's \(T\)-functor and equivariant Chow rings ⋮ Nilpotence in group cohomology ⋮ Module structures and the derived functors of iterated loop functors on unstable modules over the Steenrod algebra ⋮ Self-tilting complexes yield unstable modules ⋮ The Krull filtration of the category of unstable modules over the Steenrod algebra ⋮ Homological symbols and the Quillen conjecture. ⋮ Essential extensions, the nilpotent filtration and the Arone–Goodwillie tower ⋮ Steenrod operations on the Chow ring of a classifying space ⋮ Higher cyclic reduced powers

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