TITLE: The nilpotence height of $P_t^s$
AUTHOR: Ken Monks
Department of Mathematics
University of Scranton
Scranton, PA 18510
email: monks@uofs.edu
FILENAME: PSTHEIGHT.DVI
ABSTRACT:
The method of Walker and Wood is used to completely determine the
nilpotence height of the elements $\Pst$ in the Steenrod algebra at the
prime 2. In particular, it is shown that $(\Pst)^{2\lfloor s/t
\rfloor+2}=0$ for all $s\ge 0$, $t\ge 1$. In addition, several
interesting relations in $A$ are developed in order to carry out the
proof.