Noetherian cohomology rings and finite loop spaces with torsion

DOI10.1016/0022-4049(84)90051-3zbMath0543.57030OpenAlexW1977168454MaRDI QIDQ796156

D. L. Rector

Publication date: 1984

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(84)90051-3

zbMATH Keywords

equivalent cohomologymod p cohomology of the classifying space of a compact Lie groupmod p cohomology ring of the classifying space of any 1-connected finite loop spaceNoetherian mod p cohomology algebra

Mathematics Subject Classification ID

(H)-spaces and duals (55P45) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Loop spaces (55P35) Homology and cohomology of Lie groups (57T10) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Homology and cohomology of (H)-spaces (57T25)

Related Items (16)

Associated prime ideals of equivariant coinvariant algebras, Steenrod operations, and Krull's Going Down Theorem ⋮ The topological nilpotence degree of a Noetherian unstable algebra ⋮ Localizations of unstable \(A\)-modules and equivariant mod \(p\) cohomology ⋮ Nil-localization of unstable algebras over the Steenrod algebra ⋮ Depth and the Steenrod algebra (with an appendix by J. Lannes) ⋮ Higher limits via steinberg representations ⋮ On stratification for spaces with noetherian mod p cohomology ⋮ On unstable modules over the Dickson algebras, the Singer functors \(R_{s}\) and the functors \(Fix_{S}\) ⋮ Depth and detection for Noetherian unstable algebras ⋮ Centralizers of elementary Abelian \(p\)-subgroups and mod-\(p\) cohomology of profinite groups ⋮ Elementary abelian \(p\) subgroups of Lie groups ⋮ Integral extensions of unstable algebras over the Steenrod algebra ⋮ On the mod 𝑝 cohomology of 𝐵𝑃𝑈(𝑝) ⋮ A note on unstable algebras over the Steenrod algebra with transcendence degree two ⋮ Stratification and duality for homotopical groups ⋮ The ring of upper triangular invariants as a module over the Dickson invariants

Cites Work

• Cohomology mod 3 of the classifying space BF\(_4\) of thexceptional group F\(_4\)
• Sous-groupes commutatifs et torsion des groupes de Lie compacts connexes
• Notes toward higher differential algebra
• The realization of polynomial algebras as cohomology rings
• Classifying spaces, Steenrod operations and algebraic closure
• Finite H-spaces and algebras over the Steenrod algebra
• Sur la dimension cohomologique des groupes profinis
• The spectrum of an equivariant cohomology ring. I. II
• Associated prime ideals and Hopf algebras
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• A primer on the Dickson invariants
• On the Chern classes of the regular representations of some finite groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Noetherian cohomology rings and finite loop spaces with torsion