Modular invariant theory of parabolic subgroups of \(GL_ n(\mathbb{F}_ q)\) and the associated Steenrod modules

DOI10.1215/S0012-7094-96-08204-6zbMath0866.55021MaRDI QIDQ1919617

Thomas Hewett

Publication date: 23 July 1996

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Steenrod algebrageneral linear groupsubalgebrainvariant polynomial

Mathematics Subject Classification ID

Modular representations and characters (20C20) Steenrod algebra (55S10)

Related Items (7)

The cyclic sieving phenomenon ⋮ Modular invariants of finite gluing groups ⋮ Twisted Dickson–Mui invariants and the Steinberg module multiplicity ⋮ A gluing construction for polynomial invariants ⋮ (\(q,t\))-analogues and \(GL_{n}({\mathbb{F}}_{q})\) ⋮ A Note on Parabolic Subgroups and the Steenrod Algebra Action ⋮ Modular invariants of parabolic subgroups of general linear groups

Cites Work

• On the invariant theory of finite groups: Orbit polynomials and splitting principles
• Invariant theory and \(H^ *(GL_ n({\mathbb{F}}_ p);{\mathbb{F}}_ p)\)
• The mod 2 cohomology rings of extra-special 2-groups and the spinor groups
• A primer on the Dickson invariants
• Cohomology Operations (AM-50)
• On the Chern classes of the regular representations of some finite groups
• A ₅ -Invariants, the Cohomology of L ₃ (4) and Related Extensions
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