The image of Singer's fourth transfer

DOI10.1016/J.CRMA.2009.10.018zbMath1181.55016OpenAlexW1979165019MaRDI QIDQ1046549

Võ T. N. Quy`nh, Nguyen Hu'u Viet Hu'ng

Publication date: 22 December 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2009.10.018

zbMATH Keywords

Steenrod algebratransferhomotopy groups of spheres

Mathematics Subject Classification ID

Steenrod algebra (55S10) Transfer for fiber spaces and bundles in algebraic topology (55R12)

Related Items (10)

Kameko's homomorphism and the algebraic transfer ⋮ Hit problem for the polynomial algebra as a module over the Steenrod algebra in some degrees ⋮ The affirmative answer to Singer's conjecture on the algebraic transfer of rank four ⋮ Lambda algebra and the Singer transfer ⋮ On May spectral sequence and the algebraic transfer ⋮ The algebraic transfer for the real projective space ⋮ The squaring operation and the Singer algebraic transfer ⋮ On May spectral sequence and the algebraic transfer ⋮ The negative answer to Kameko's conjecture on the hit problem ⋮ The Singer transfer for infinite real projective space

Cites Work

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• Algebraic transfer and action of linear groups on mod 2 divided powers
• The transfer in homological algebra
• Quillen stratification for the Steenrod algebra
• The weak conjecture on spherical classes
• A polynomial subalgebra of the cohomology of the Steenrod algebra
• On the cohomology of the Steenrod algebra
• The transfer and stable homotopy theory
• The iterated transfer analogue of the new doomsday conjecture
• On the behavior of the algebraic transfer
• The factorization of cyclic reduced powers by secondary cohomology operations
• Sub-Hopf algebras of the Steenrod algebra and the Singer transfer
• The cohomology of the Steenrod algebra and representations of the general linear groups

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