ON THE PETERSON HIT PROBLEM OF FIVE VARIABLES AND ITS APPLICATIONS TO THE FIFTH SINGER TRANSFER

Nguyen Sum

Abstract


We study the Peterson hit problem of finding a minimal set of generators for the polynomial algebra Pk:=F2[x1,x2,...,xk] as a module overthe mod-2 Steenrod algebra, A. In this paper, we explicitly determine aminimal set ofA-generators with k= 5 in degree 15. Using this resultswe show that the fifth Singer transfer is an somorphism in this degree.


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