Generators for the mod-\(p\) cohomology of the Steinberg summand of Thom spectra over \(\mathrm{B}(\mathbb{Z}/p)^n\)-odd primary cases

DOI10.1007/s10013-021-00501-yzbMath1496.55018OpenAlexW3165979787MaRDI QIDQ2054693

Nguyen Dang Ho Hai

Publication date: 3 December 2021

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-021-00501-y

zbMATH Keywords

modular invariantsSteenrod algebraSteinberg representationindecomposablesSteinberg summand

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Steenrod algebra (55S10)

Cites Work

• Generators for the mod 2 cohomology of the Steinberg summand of Thom spectra over \(B(\mathbb Z/2)^n\)
• Stable splittings derived from the Steinberg module
• The Steenrod algebra and its dual
• The modular Hecke algebra and Steinberg representation of finite Chevalley groups (with an appendix by Peter Landrock)
• The Goodwillie tower of the identity functor and the unstable periodic homotopy of spheres
• On Singer's invariant-theoretic description of the lambda algebra: A mod \(p\) analogue
• 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
• Un complexe de Koszul de modules instables et cohomotopie d’un spectre de Thom
• Prime Power Representations Of Finite Linear Groups
• The transfer and Whitehead's conjecture
• On the action of the Iwahori–Hecke algebra on modular invariants
• Generators of the cohomology of M(n) as a module over the odd primary Steenrod algebra
• The action of the primitive Steenrod-Milnor operations on the modular invariants
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