𝒜-generators for the Dickson algebra

Hu’ng, Nguyễn H. V.; Peterson, Franklin P.

doi:10.1090/S0002-9947-1995-1316852-X

$\scr A$-generators for the Dickson algebra
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by Nguyễn H. V. Hu’ng and Franklin P. Peterson

Trans. Amer. Math. Soc. 347 (1995), 4687-4728

DOI: https://doi.org/10.1090/S0002-9947-1995-1316852-X

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Abstract:

Let ${D_k}$ denote the Dickson algebra in $k$ variables over the field of two elements. We study the problem of determining a minimal set of generators for ${D_k}$ as a module over the Steenrod algebra $\mathcal {A}$. This is easy for $k = 1$ and $2$. In this paper we answer this question for $k = 3$ and $4$ and give techniques which may help solve the problem for general $k$.

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