\title{On simple endotrivial modules}
\author{Geoffrey R. Robinson,\\
Institute of Mathematics,\\
University of Aberdeen,\\
Aberdeen AB24 3UE,\\
Scotland}

\begin{abstract}
We show that when $G$ is a finite group which contains an elementary
Abelian subgroup of order $p^{2}$ and $k$ is an algebraically closed
field of characteristic $p,$ then the study of simple endotrivial
$kG$-modules which are not monomial may be reduced to the case
when $G$ is quasi-simple.\\
\noindent {\bf AMS Classification:} 20C20

\end{abstract}