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math.AT2025
Computational Approaches to the Singer Transfer: Preimages in the Lambda Algebra and -Invariant Theory
Dang Vo Phuc
We present a systematic, algorithmic method to compute the preimage of elements under the Singer algebraic transfer. Using the lambda algebra and the invariant-theoretic formula of…
math.AT2024
On the hit problem for the polynomial algebra and the algebraic transfer
Dang Vo Phuc
This paper investigates Singer's conjecture by examining the cohit module for specific degrees and values of . Utilizing hit probl…
math.AT2021
A note on the non-trivial elements in the cohomology groups of the Steenrod algebra
Dang Vo Phuc
Let be the prime field of two elements and let be the general linear group of rank Denote by the Steenrod algebra over The (mod-2…
math.AT2016★ 83 cited
On the generators of the polynomial algebra as a module over the Steenrod algebra
Dang Vo Phuc, Nguyen Sum
Let be the polynomial algebra over the prime field of two elements, , in variables , each of degree…