The Nilpotent filtration and the action of automorphisms on the cohomology of finite p-groups

DOI10.1017/S0305004108001072zbMath1173.20037arXivmath/0605442MaRDI QIDQ3506445

Nicholas J. Kuhn

Publication date: 13 June 2008

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

Full work available at URL: https://arxiv.org/abs/math/0605442

zbMATH Keywords

finite \(p\)-groupsgroup cohomologynilpotent filtrations

Mathematics Subject Classification ID

Cohomology of groups (20J06) Steenrod algebra (55S10) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)

Related Items (3)

Primitives and central detection numbers in group cohomology. ⋮ Nilpotence in group cohomology ⋮ The Lie module and its complexity

Cites Work

• On the module structure of the mod p cohomology of a p-group
• Nil-localization of unstable algebras over the Steenrod algebra
• Depth and equivariant cohomology
• Finiteness properties of injective resolutions of certain unstable modules over the Steenrod algebra and applications
• \(p\)-nilpotence, classifying space indecomposability, and other properties of almost all finite groups
• Localizations of unstable \(A\)-modules and equivariant mod \(p\) cohomology
• Depth and the Steenrod algebra (with an appendix by J. Lannes)
• Cohomology rings of finite groups. With an appendix: Calculations of cohomology rings of groups of order dividing 64.
• On topologically realizing modules over the Steenrod algebra
• The essential ideal in group cohomology does not square to zero.
• Primitives and central detection numbers in group cohomology.
• The spectrum of an equivariant cohomology ring. I. II
• DICKSON–MUI INVARIANTS
• Stable decompositions of classifying spaces of finite abelianp-groups
• SOME REMARKS ON CENTRAL ELEMENTARY ABELIAN P-SUBGROUPS AND COHOMOLOGY OF CLASSIFYING SPACES
• The Categories of Unstable Modules and Unstable Algebras Over the Steenrod Algebra Modulo Nilpotent Objects
• Generic Representations of the Finite General Linear Groups and the Steenrod Algebra: I
• The action of automorphisms on the cohomology of a p-group

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