  It is shown in a local strongly $F$-regular ring there exits natural number
$e_0$ so that if $M$ is any finitely generated maximal Cohen-Macaulay module
then the pushforward of $M$ under the $e_0$th iterate of the Frobenius
endomorphism contains a free summand. Consequently, the torsion subgroup of the
divisor class group of a local strongly $F$-regular ring is finite.
