On Peterson's open problem and representations of the general linear groups

DOI10.4134/JKMS.j200219zbMath1485.55019arXiv1907.08768MaRDI QIDQ5001917

Đặng Võ Phúc

Publication date: 23 July 2021

Full work available at URL: https://arxiv.org/abs/1907.08768

zbMATH Keywords

Steenrod algebrageneral linear groupPeterson hit problemSinger algebraic transfer

Mathematics Subject Classification ID

Steenrod algebra (55S10) Adams spectral sequences (55T15) Primary cohomology operations in algebraic topology (55S05)

Related Items (8)

A NOTE ON THE EPIMORPHISM OF THE FIFTH ALGEBRAIC TRANSFER ⋮ On the dimension of \(H^\ast( ( \mathbb{Z}_2 )^{\times t}, \mathbb{Z}_2)\) as a module over Steenrod ring ⋮ 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 ⋮ A note on the hit problem for the polynomial algebra of six variables and the sixth algebraic transfer ⋮ On the hit problem for the Steenrod algebra in the generic degree and its applications

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