Equivariant BP-Cohomology for Finite Groups

DOI10.2307/2001474zbMath0693.55005OpenAlexW4249807130MaRDI QIDQ3468304

Nobuaki Yagita

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2001474

zbMATH Keywords

classifying spacefinite groupgeneralized cohomology theoryBrown- Peterson cohomologyp-subgroups of compact Lie groups

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Bordism and cobordism theories and formal group laws in algebraic topology (55N22)

Related Items (2)

Morava \(K\)-theory of groups of order 32 ⋮ Brown-Peterson and Ordinary Cohomology Theories of Classifying Spaces for Compact Lie Groups

Cites Work

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• Cohomology of classifying spaces of complex Lie groups and related discrete groups
• On relations between Brown-Peterson cohomology and the ordinary mod p cohomology theory
• BP operations and Morava's extraordinary K-theories
• Elementary proofs of some results of cobordism theory using Steenrod operations
• The spectrum of an equivariant cohomology ring. I. II
• A cohomological criterion for p-nilpotence
• Das ``schiefe Produkt in der Gruppentheorie mit Anwendung auf die endlichen nichtkommutativen Gruppen mit lauter kommutativen echten Untergruppen und die Ordnungszahlen, zu denen nur kommutative Gruppen gehören
• Sur certaines sous-groupes des groupes de Lie compacts
• ON THE DIMENSION OF SPHERES WHOSE PRODUCT ADMITS A FREE ACTION BY A NON-ABELIAN GROUP
• The cohomology of Chevalley groups of exceptional Lie type
• Stable cohomotopy and cobordism of abelian groups
• The exact functor theorem for ${BP_* }/ {I_n }$-theory
• Homological Properties of Comodules Over MU ∗ (MU) and BP ∗ (BP)
• Generalized group characters and complex oriented cohomology theories
• A Generalization of the Transfer Map in the Cohomology of Groups

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