@article{jmsa2019712,
author={Mothebe, Mbakiso Fix},
title={A Note on Admissible Monomials of Degree 2^{¦Ë}?1},
journal={Journal of Mathematical Sciences and Applications},
volume={7},
number={1},
pages={10--14},
year={2019},
url={http://pubs.sciepub.com/jmsa/7/1/2},
issn={2333-8792},
abstract={Let be the polynomial algebra in *n *variables *x*_{i}, of degree one, over the field of two elements. The mod-2 Steenrod algebra acts on** **** **according to well known rules. A major problem in algebraic topology is that of determining the image of the action of the positively graded part of A. We are interested in the related problem of determining a basis for the quotient vector space Both and **Q**(*n*) are graded, where **P**^{d}(*n*) denotes the set of homogeneous polynomials of degree *d*. In this note we show that the monomial is the only one among all its permutation representatives that is admissible, (that is, *a*_{n }meets a criterion to be in a certain basis for **Q**(*n*)). We show further that if with *m *¡Ý *n, *then there are exactly permutation representatives of the product monomial* ** * that are admissible.},
doi={10.12691/jmsa-7-1-2}
publisher={Science and Education Publishing}
}