The hit problem for the Dickson algebra

DOI10.1090/S0002-9947-01-02705-2zbMath0979.55011MaRDI QIDQ2750933

Tran Ngoc Nam, Nguyen Hu'u Viet Hu'ng

Publication date: 21 October 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

invariant theorySteenrod algebraHopf invariantDickson algebraKervaire invariantspherical classes

Mathematics Subject Classification ID

Actions of groups on commutative rings; invariant theory (13A50) Steenrod algebra (55S10) Adams spectral sequences (55T15) Infinite loop spaces (55P47) Stable homotopy of spheres (55Q45)

Related Items (15)

On the Peterson hit problem ⋮ Generic \(\mathcal A\)-generators for the polynomial algebra ⋮ Formal partial derivatives and the commutativity of squaring operations ⋮ The squaring operation on \({\mathcal A}\)-generators of the Dickson algebra ⋮ On Peterson's open problem and representations of the general linear groups ⋮ On the vanishing of the Lannes-Zarati homomorphism ⋮ The squaring operation on -generators of the Dickson algebra. ⋮ Filtered finiteness of the image of the unstable Hurewicz homomorphism with applications to bordism of immersions ⋮ Algebraic transfer and action of linear groups on mod 2 divided powers ⋮ The \(\mathcal{A}\)-decomposability of the Singer construction ⋮ The negative answer to Kameko's conjecture on the hit problem ⋮ The hit problem for the modular invariants of linear groups ⋮ The cohomology of the Steenrod algebra and representations of the general linear groups ⋮ The Dyer-Lashof algebra and the hit problems ⋮ The generalized algebraic conjecture on spherical classes

Cites Work

• The transfer in homological algebra
• The weak conjecture on spherical classes
• Spherical classes and the Lambda algebra
• Cohomology Operations (AM-50)
• The Action of the Steenrod Squares on the Modular Invariants of Linear Groups
• Spherical classes and the Dickson algebra
• Hit Polynomials and the Canonical Antiautomorphism of the Steenrod Algebra
• Spherical classes and the algebraic transfer
• A-Generators for the Dickson Algebra
• On Characterizing Summands in the Classifying Space of a Group, I

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