Chern classes and extraspecial groups

DOI10.1007/BF02567806zbMath0862.20039arXiv0711.5013OpenAlexW2046039590MaRDI QIDQ1911200

David J. Green, Ian J. Leary

Publication date: 28 May 1997

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.5013

zbMATH Keywords

Chern classesKrull dimensionextraspecial \(p\)-groupsDickson invariantsfaithful irreducible representationsmod-\(p\) cohomology algebras

Mathematics Subject Classification ID

Cohomology of groups (20J06) Characteristic classes and numbers in differential topology (57R20) Finite nilpotent groups, (p)-groups (20D15)

Related Items (4)

The splitting of cohomology of \(p\)-groups with rank 2 ⋮ Chern classes and the extraspecialp-group of orderp⁵and exponentp ⋮ Examples for the mod 𝑝 motivic cohomology of classifying spaces ⋮ A counterexample to the Ch(G)-conjecture

Cites Work

• Unnamed Item
• Characters and cohomology of finite groups
• The mod 2 cohomology rings of extra-special 2-groups and the spinor groups
• Cohomology of finite groups and elementary abelian subgroups
• The spectrum of an equivariant cohomology ring. I. II
• The varieties of the mod p cohomology rings of extra special p-groups for an odd prime p
• The Cohomology of Extraspecial Groups
• The mod-p cohomology rings of some p-groups
• The Integral Cohomology Rings of Groups of Order p 3

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