The \(p\)-primary subgroup of the cohomology of \(BPU_n\) in dimension \(2p + 6\)

DOI10.1016/j.topol.2023.108642OpenAlexW4384700613WikidataQ122173776 ScholiaQ122173776MaRDI QIDQ6073653

Zhilei Zhang, Li Nan Zhong, Unnamed Author

Publication date: 18 September 2023

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2023.108642

zbMATH Keywords

classifying spacesprojective unitary groupsSerre spectral sequences

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Serre spectral sequences (55T10)

Cites Work

• Unnamed Item
• On the cohomology of the classifying spaces of PSU (4n+2) and PO (4n+2)
• \(\mathcal Q\)-subalgebras, Milnor basis, and cohomology of Eilenberg-MacLane spaces
• The period-index problem for twisted topological \(K\)-theory
• The topological period-index problem over 6-complexes
• Brown-Peterson and Ordinary Cohomology Theories of Classifying Spaces for Compact Lie Groups
• The 𝑝-primary subgroups of the cohomology of 𝐵𝑃𝑈_{𝑛} in dimensions less than 2𝑝+5
• The topological period-index problem over $8$-complexes, II
• On the cohomology of the classifying spaces of projective unitary groups
• The topological period–index problem over 8‐complexes, I
• The Brown-Peterson cohomology of the classifying spaces of the projective unitary groups 𝑃𝑈(𝑝) and exceptional Lie groups
• On the mod 𝑝 cohomology of 𝐵𝑃𝑈(𝑝)

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