On the $p$-primary subgroups of the cohomology of the classifying space of $PU_n$

Let $PU_n$ denote the projective unitary group of rank $n$, and let $BPU_n$ be its classifying space. We extend our previous results to a description of $H^s(BPU_n;\mathbb {Z})_{(p)}$ for $s \lt 2p+9$ by showing that the $p$-primary subgroup of $H^s(BPU_n

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Publication Details

Journal
Fundamenta Mathematicae
Published
2025-01-01
DOI
https://doi.org/10.4064/fm231221-20-3
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00

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article

On the $p$-primary subgroups of the cohomology of the classifying space of $PU_n$

Zhilei Zhang, Linan Zhong
Fundamenta Mathematicae
Homotopy and Cohomology in Algebraic Topology
article

On the $p$-primary subgroups of the cohomology of the classifying space of $PU_n$

Zhilei Zhang, Linan Zhong
article en

Abstract

Let $PU_n$ denote the projective unitary group of rank $n$, and let $BPU_n$ be its classifying space. We extend our previous results to a description of $H^s(BPU_n;\mathbb {Z})_{(p)}$ for $s \lt 2p+9$ by showing that the $p$-primary subgroup of $H^s(BPU_n

Fundamenta MathematicaeVol. 269(2)
Yanbian University (CN), Xi'an Shiyou University (CN), Nankai University (CN)
National Natural Science Foundation of China
Reduced inequalities
Openalex Percentile: Top 83%
Homotopy and Cohomology in Algebraic Topology
DOIOpen Access PDFOpenAlex
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