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- W2194967678 abstract "Let Pk:=F2[x1,x2,…,xk] be the polynomial algebra over the prime field of two elements, F2, in k variables x1,x2,…,xk, each of degree 1. We are interested in the Peterson hit problem of finding a minimal set of generators for Pk as a module over the mod-2 Steenrod algebra, A. In this paper, we study the hit problem in degree (k−1)(2d−1), with d a positive integer. Our result implies the one of Mothebe [4], [5]. Soient A l'algèbre de Steenrod mod-2 et Pk:=F2[x1,x2,…,xk] l'algèbre polynomiale graduée à k générateurs sur le corps à deux éléments F2, chaque générateur étant de degré 1. Nous étudions le problème suivant soulevé par F. Peterson : déterminer un système minimal de générateurs comme module sur l'algèbre de Steenrod pour Pk, problème appelé hit problem en anglais. Dans ce but, nous étudions le hit problem en degré (k−1)(2d−1), avec d>0. Cette solution implique un résultat de Mothebe [4], [5]." @default.
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- W2194967678 date "2015-11-01" @default.
- W2194967678 modified "2023-10-17" @default.
- W2194967678 title "On the generators of the polynomial algebra as a module over the Steenrod algebra" @default.
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- W2194967678 doi "https://doi.org/10.1016/j.crma.2015.09.002" @default.
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