A formula for the mod 𝑝 cohomology of 𝐵𝑃𝑈(𝑝)

Feifei Fan

doi:10.1090/proc/17569

A formula for the mod 𝑝 cohomology of 𝐵𝑃𝑈(𝑝)

Proceedings of the American Mathematical Society 2026

View at publisher

Authors: Feifei Fan

DOI: 10.1090/proc/17569

Cited by: 0

References: 18

Abstract

We study the mod p p cohomology ring of the classifying space B P U ( p ) BPU(p) of the projective unitary group P U ( p ) PU(p) , when p p is an odd prime. We prove a mod p p formula analogous to a formula of Vistoli for the integral cohomology ring of B P U ( p ) BPU(p) . As an application, we give a simple topological proof of Vistoli’s formula.

Fields of Study & Subjects

Homotopy and Cohomology in Algebraic Topology Advanced Algebra and Geometry Geometric and Algebraic Topology

Publication details

Journal / source: Proceedings of the American Mathematical Society
Volume: 154
Issue: 5
Pages: 2235–2244
Publication date: 10 February 2026
Language: EN

References 18