@article{jmsa2014222,
author={Tin, Nguyen Khac},
title={The Admissible Monomial Basis for the Polynomial Algebra of Five Variables in Degree Eight},
journal={Journal of Mathematical Sciences and Applications},
volume={2},
number={2},
pages={21--24},
year={2014},
url={http://pubs.sciepub.com/jmsa/2/2/2},
abstract={We study the hit problem, set up by F. Peterson of finding a minimal set of generators for the polynomial algebra <img src=image/abs1.png></img> as a module over the mod-2 Steenrod algebra, A. By assigning degree 1 to each <img src=image/abs2.png></img>, P<SUB>k</SUB> is regarded as a graded algebra over the ground field F<SUB>2</SUB>. The mod 2 cohomology ring of the k-fold Cartesian product of infinite dimensional real projective spaces is isomorphic to P<SUB>k</SUB> as a graded algebra. Through this isomorphism, we may regard P<SUB>k</SUB> as an A-module where A stands for the mod 2 Steenrod algebra. In this paper, we explicitly determine the hit problem for the case of k=5 in degree 8 in terms of the admissible monomials.},
doi={10.12691/jmsa-2-2-2}
publisher={Science and Education Publishing}
}