On the cohomology of the classifying spaces of projective unitary groups

DOI10.1142/S1793525320500211zbMath1477.55016arXiv1612.00506MaRDI QIDQ5156546

Xing Gu

Publication date: 11 October 2021

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.00506

zbMATH Keywords

classifying spacesprimitive elementsintegral cohomologyprojective 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) Homology and homotopy of topological groups and related structures (57T99)

Related Items (2)

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 \(2p + 6\)

Cites Work

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• On the mod 𝑝 cohomology of 𝐵𝑃𝑈(𝑝)
• Algebraic topology -- homology and homotopy.

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