Finite generation of cohomology of finite groups

2016/08/11 by Raphaël Rouquier, Rouquier, Raphael
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1608.03579

openalex publication_date 2016/08/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a proof of the finite generation of the cohomology ring of a finite p-group over F_p by reduction to the case of elementary abelian groups, based on Serre's Theorem on products of Bocksteins.

Related

• The cohomology of certain groups
• Notes on Cohomological Finite Generation for Finite Group Schemes
• New approaches to finite generation of cohomology rings
• Finite generation conjectures for cohomology over finite fields
• Lectures on the Cohomology of Finite Groups