JP Journal of Algebra, Number Theory and Applications
Volume 46, Issue 1, Pages 55 - 68
(April 2020) http://dx.doi.org/10.17654/NT046010055 |
|
THE ADMISSIBLE MONOMIAL BASIS FOR THE POLYNOMIAL ALGEBRA AS A MODULE OVER STEENROD ALGEBRA IN SOME DEGREES
Tin Nguyen Khac
|
Abstract: Let be the graded polynomial algebra with the degree of each generator being 1, where denotes the prime field of two elements. We study the hit problem, set up by Frank Peterson, of finding a minimal set of generators for the polynomial algebra as a module over the mod-2 Steenrod algebra,
In this paper, we explicitly determine all admissible monomials for the case in degree with s an arbitrary positive integer. Moreover, we study the hit problem of the degree in for any integer |
Keywords and phrases: Steenrod squares, hit problem, polynomial algebra.
|
|
Number of Downloads: 236 | Number of Views: 737 |
|