Generators for the mod 2 cohomology of the Steinberg summand of Thom spectra over \(B(\mathbb Z/2)^n\)

DOI10.1016/j.jalgebra.2013.02.009zbMath1279.55010OpenAlexW2070915200MaRDI QIDQ375201

Nguyen Dang Ho Hai

Publication date: 28 October 2013

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0021869313000811

zbMATH Keywords

Steenrod algebraDickson algebrahit problemSteinberg idempotentThom spectrum

Mathematics Subject Classification ID

Steenrod algebra (55S10) Spectra with additional structure ((E_infty), (A_infty), ring spectra, etc.) (55P43)

Related Items (3)

On the action of the Iwahori–Hecke algebra on modular invariants ⋮ Takayasu cofibrations revisited ⋮ Generators for the mod-\(p\) cohomology of the Steinberg summand of Thom spectra over \(\mathrm{B}(\mathbb{Z}/p)^n\)-odd primary cases

Cites Work

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• Stable splittings derived from the Steinberg module
• The modular Hecke algebra and Steinberg representation of finite Chevalley groups (with an appendix by Peter Landrock)
• Classifying spaces, Steenrod operations and algebraic closure
• The transfer in homological algebra
• The Goodwillie tower of the identity functor and the unstable periodic homotopy of spheres
• On stable summands of Thom spectra of \(B(\mathbb{Z}/2)^n\) associated to Steinberg modules
• Minc's generating function and a ``Segal conjecture for certain Thom spectra
• Partition Complexes, Tits Buildings and Symmetric Products
• A primer on the Dickson invariants
• Prime Power Representations Of Finite Linear Groups
• The transfer and Whitehead's conjecture
• Problems in the Steenrod Algebra

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