On the $BP\langle n\rangle $-cohomology of elementary abelian $p$-groups

DOI10.1090/tran6699zbMath1398.55005arXiv1304.0881OpenAlexW2285908470MaRDI QIDQ2821681

Geoffrey M. L. Powell

Publication date: 22 September 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.0881

zbMATH Keywords

formal groupelementary abelian groupMilnor primitiveBrown-Peterson theoryJohnson-Wilson theories

Mathematics Subject Classification ID

Cohomology of groups (20J06) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Bordism and cobordism theories and formal group laws in algebraic topology (55N22)

Related Items (1)

Examples of non-algebraic classes in the Brown-Peterson tower

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Subalgebras of Steenrod algebra and the action of matrices on truncated polynomial algebras
• On connective \(K\)-theory of elementary abelian 2-groups and local duality
• Projective dimension and Brown-Peterson homology
• The Hopf rings for connective Morava K-theory and connective complex K- theory
• The Hopf ring of Morava K-theory
• Torsion in Brown-Peterson homology and Hurewicz homomorphisms
• On function spaces whose source is the classifying space of an elementary abelian \(p\)-group
• Brown-Peterson cohomology from Morava \(K\)-theory
• Brown-Peterson homology of elementary \(p\)-groups. II
• The \(\Omega\)-spectrum for Brown-Peterson cohomology. I
• The image of the 𝐵𝑃 Thom map for Eilenberg-MacLane spaces
• The Brown-Peterson Homology of Elementary p-Groups
• The Morava K-Theories of Some Classifying Spaces
• The Ω-Spectrum for Brown-Peterson Cohomology Part II
• The BP 〈N 〉 Cohomology of Elementary Abelian Groups
• Spectra of 𝐵𝑃-linear relations, 𝑣_{𝑛}-series, and 𝐵𝑃 cohomology of Eilenberg-Mac Lane spaces
• Generalized group characters and complex oriented cohomology theories

This page was built for publication: On the $BP\langle n\rangle $-cohomology of elementary abelian $p$-groups