The 𝑝-primary subgroups of the cohomology of 𝐵𝑃𝑈_{𝑛} in dimensions less than 2𝑝+5

DOI10.1090/proc/16000zbMath1506.55013arXiv2108.03571OpenAlexW4210888159MaRDI QIDQ5086954

Xing Gu, Zhilei Zhang, Li Nan Zhong, Yu Zhang

Publication date: 8 July 2022

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

Full work available at URL: https://arxiv.org/abs/2108.03571

zbMATH Keywords

cohomology of projective unitary groups

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)

Related Items (2)

The \(p\)-primary subgroup of the cohomology of \(BPU_n\) in dimension \(2p + 6\) ⋮ Milnor operations and classifying spaces

Cites Work

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• On the Chow ring of the classifying stack of PGL3,ℂ
• Some torsion classes in the Chow ring and cohomology of BPGLn
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• On the cohomology of the classifying spaces of projective unitary groups
• The topological period–index problem over 8‐complexes, I
• On the cohomology and the Chow ring of the classifying space of PGL p
• 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)
• Induced Fibrations and Cofibrations

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