  In this note, we prove that for any finite dimensional vector space $V$ over
an algebraically closed field $k$, and for any finite subgroup $G$ of $GL(V)$
which is either solvable or is generated by pseudo reflections such that the
$|G|$ is a unit in $k$, the projective variety $\mathbb P(V)/G$ is projectively
normal with respect to the descent of $\mathcal O(1)^{\otimes |G|}$.
