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Comptes Rendus Mathématique
Volume 351, n° 13-14
pages 565-568 (juillet 2013)
Doi : 10.1016/j.crma.2013.07.016
Received : 4 June 2013 ;  accepted : 17 July 2013
On the hit problem for the polynomial algebra
Sur le hit problem pour lʼalgèbre polynomiale

Nguyễn Sum
 Department of Mathematics, Quy Nhơn University, 170 An Dương Vương, Quy Nhơn, Bi`nh Định, Viet Nam 


We study the hit problem , set up by F. Peterson, of finding a minimal set of generators for the polynomial algebra   as a module over the mod-2 Steenrod algebra,  . In this Note, we study a minimal set of generators for  -module   in some so-called generic degrees and apply these results to explicitly determine the hit problem for  .

The full text of this article is available in PDF format.

Nous étudions le problème suivant soulevé par F. Peterson : déterminer un système minimal de générateurs comme module sur lʼalgèbre de Steenrod pour lʼalgèbre polynomiale  , problème appelé hit problem en anglais. Dans ce but, nous étudions un ensemble minimal de générateurs pour le  -module   dans certains degrés dits génériques. En appliquant ces résultats, nous déterminons explicitement le hit problem pour  .

The full text of this article is available in PDF format.

 The work was supported in part by a grant of NAFOSTED.

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