On the mod 𝑝 cohomology of 𝐵𝑃𝑈(𝑝)

DOI10.1090/S0002-9947-05-03983-8zbMath1077.55010arXivmath/0312441MaRDI QIDQ5461394

Antonio Viruel, Aleš Vavpetič

Publication date: 26 July 2005

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

Full work available at URL: https://arxiv.org/abs/math/0312441

zbMATH Keywords

Steenrod algebraunstable algebraBockstein spectral sequenceprojective unitary groupBousfield-Kan completioncohomology of classifying spacesMilnor primitive operators

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Steenrod algebra (55S10) Classification of fiber spaces or bundles in algebraic topology (55R15)

Related Items (6)

The 𝑝-primary subgroups of the cohomology of 𝐵𝑃𝑈_{𝑛} in dimensions less than 2𝑝+5 ⋮ The \(p\)-primary subgroup of the cohomology of \(BPU_n\) in dimension \(2p + 6\) ⋮ Milnor operations and classifying spaces ⋮ On the cohomology of the classifying spaces of projective unitary groups ⋮ The Brown-Peterson cohomology of the classifying spaces of the projective unitary groups 𝑃𝑈(𝑝) and exceptional Lie groups ⋮ Some torsion classes in the Chow ring and cohomology of BPGLn

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mod 3 homotopy uniqueness of \(BF_4\)
• The Steenrod algebra and its dual
• Noetherian cohomology rings and finite loop spaces with torsion
• Homotopy classification of self-maps of \(BG\) via \(G\)-actions. II
• Homotopical uniqueness of classifying spaces
• Homotopy decomposition of classifying spaces via elementary Abelian subgroups
• A cohomology decomposition theorem
• On function spaces whose source is the classifying space of an elementary abelian \(p\)-group
• The transfer map and fiber bundles
• Normalizers of maximal tori
• \(p\)-Stubborn subgroups of classical compact Lie groups
• Homotopy uniqueness of classifying spaces of compact connected Lie groups at primes dividing the order of the Weyl group
• Homotopy fixed-point methods for Lie groups and finite loop spaces
• Homotopy uniqueness of \(BG_2\)
• On the mod 3 homotopy type of the classifying space of a central product of \(SU(3)\)'s
• The classification of \(p\)-compact groups for \(p\) odd
• The spectrum of an equivariant cohomology ring. I. II
• Homotopy limits, completions and localizations
• Brown-Peterson and Ordinary Cohomology Theories of Classifying Spaces for Compact Lie Groups
• Cohomology Operations (AM-50)
• Connected finite loop spaces with maximal tori
• Projective unitary groups are totally $N$ -determined $p$ -compact groups
• Maps between classifying spaces

This page was built for publication: On the mod 𝑝 cohomology of 𝐵𝑃𝑈(𝑝)