TITLE: Polynomial Modules Over the Steenrod Algebra
and Conjugation in the Milnor Basis
AUTHOR: Ken Monks
Department of Mathematics
University of Scranton
Scranton, PA 18510
email: monks@uofs.edu
FILENAME: polymods.dvi
ABSTRACT:
Let $P_s=\Bbb F_2\left[ x_1,\ldots ,x_s\right]$ be the mod 2 cohomology
of the $s $-fold product of $\Bbb R\text{P}^\infty $ with the usual
structure as a module over the Steenrod algebra. A monomial in $P_s$ is
said to be hit if it is in the image of the action $\overline{A} \otimes
P_s\rightarrow P_s$ where $ \overline{A}$ is the augmentation ideal of
$A$. We extend a result of Wood to determine a new family of hit
monomials in $P_s$. We then use similar methods to obtain a
generalization of antiautomorphism formulas of Davis and Gallant.