The iterated transfer analogue of the new doomsday conjecture

DOI10.1090/S0002-9947-99-02037-1zbMath0932.55012OpenAlexW1485917701WikidataQ123289596 ScholiaQ123289596MaRDI QIDQ4243604

Norihiko Minami

Publication date: 19 May 1999

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02037-1

zbMATH Keywords

transferAdams spectral sequenceHurewicz imageclassifying spaces of elementary abelian \(p\)-groupsHopf-invariant one theorem

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Adams spectral sequences (55T15) Stable homotopy groups (55Q10) Transfer for fiber spaces and bundles in algebraic topology (55R12) Stable homotopy of spheres (55Q45)

Related Items (25)

On the Peterson hit problem ⋮ Generic \(\mathcal A\)-generators for the polynomial algebra ⋮ Hit problem for the polynomial algebra as a module over the Steenrod algebra in some degrees ⋮ A NOTE ON THE EPIMORPHISM OF THE FIFTH ALGEBRAIC TRANSFER ⋮ On the behavior of the algebraic transfer ⋮ On Peterson's open problem and representations of the general linear groups ⋮ The cohomology of the Steenrod algebra and the mod \(p\) Lannes-Zarati homomorphism ⋮ The affirmative answer to Singer's conjecture on the algebraic transfer of rank four ⋮ A note on the $\mathcal{A}$-generators of the polynomial algebra of six variables and applications ⋮ On \(\mathbb{A}\)-generators of the cohomology \(H^* (V^{\bigoplus 5}) = \mathbb{Z}/2 [u_1, \ldots, u_5\) and the cohomological transfer of rank 5] ⋮ A note on the hit problem for the polynomial algebra in the case of odd primes and its application ⋮ On the Hurewicz image of the Steinberg summand \(M(n)\) ⋮ On May spectral sequence and the algebraic transfer ⋮ The squaring operation on -generators of the Dickson algebra. ⋮ Algebraic transfer and action of linear groups on mod 2 divided powers ⋮ The squaring operation and the Singer algebraic transfer ⋮ The negative answer to Kameko's conjecture on the hit problem ⋮ On May spectral sequence and the algebraic transfer ⋮ The negative answer to Kameko's conjecture on the hit problem ⋮ The cohomology of the Steenrod algebra and representations of the general linear groups ⋮ A note on the hit problem for the polynomial algebra of six variables and the sixth algebraic transfer ⋮ The image of Singer's fourth transfer ⋮ The Singer transfer for infinite real projective space ⋮ Modified Stirling numbers and \(p\)-divisibility in the universal typical \(p^k\)-series ⋮ On the hit problem for the Steenrod algebra in the generic degree and its applications

Cites Work

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