Invariant theory and \(H^ *(GL_ n({\mathbb{F}}_ p);{\mathbb{F}}_ p)\)

DOI10.1016/0022-4049(87)90033-8zbMath0615.20025OpenAlexW117905852MaRDI QIDQ1820869

R. James Milgram, Stewart B. Priddy

Publication date: 1987

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(87)90033-8

zbMATH Keywords

invariantscharacteristic classestransfersymmetric algebraparabolic subgroup

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Vector and tensor algebra, theory of invariants (15A72) Cohomology theory for linear algebraic groups (20G10)

Related Items (11)

Cohomology of unipotent algebraic and finite groups and the Steenrod algebra ⋮ On the range of non-vanishing \(p\)-torsion cohomology for \(\text{GL}_n(\mathbb{F}_p)\). ⋮ Modular invariant theory of parabolic subgroups of \(GL_ n(\mathbb{F}_ q)\) and the associated Steenrod modules ⋮ On the edge of the stable range ⋮ Modular characteristic classes for representations over finite fields ⋮ Algebraic \(K\)-theory. Abstracts from the workshop held May 8--14, 2022 ⋮ The reductive Borel-Serre compactification as a model for unstable algebraic K-theory ⋮ Elementary subalgebras of Lie algebras ⋮ The ring generated by the elements of degree 2 in \(H^*(U_n(\mathbb{F}_p),\mathbb{Z})\) ⋮ A Note on Parabolic Subgroups and the Steenrod Algebra Action ⋮ The third Milgram-Priddy class lifts

Cites Work

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• Chevalley group theory and the transfer in the homology of symmetric groups
• On the invariant theory of finite groups: Orbit polynomials and splitting principles
• Linear transformations of tensor products preserving a fixed rank
• The spectrum of an equivariant cohomology ring. I. II
• On the cohomology and K-theory of the general linear groups over a finite field
• A primer on the Dickson invariants
• 𝑅-linear endomorphisms of (𝑅)_{𝑛} preserving invariants
• On the Chern classes of the regular representations of some finite groups
• On the transfer in the homology of symmetric groups

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