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arXiv · 1412.3309

On the Peterson hit problem

Nguyen Sum
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Abstract

We study the hit problem, set up by F. Peterson, of finding a minimal set of generators for the polynomial algebra $P_k := \mathbb F_2[x_1,x_2,...,x_k]$ as a module over the mod-2 Steenrod algebra, $\mathcal{A}$. In this paper, we study a minimal set of generators for $\mathcal A$-module $P_k$ in some so-call generic degrees and apply these results to explicitly determine the hit problem for $k=4$.

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Nguyen Sum. 2014-12-10. On the Peterson hit problem. https://doi.org/10.1016/j.aim.2015.01.010

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