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In this note we extend some of the results of a previous paper\url{arXiv:math/0511593} to algebraically closed fields of finitecharacteristic. In particular, we show that there is an explicit expression in$n$ and $d$ which is divisible by the prime to $p$ part of the order of the theautomorphism group of a smooth degree $d$ hypersurface $\subset \mathbb{P}^n_k$for $k$ an algebraically closed field of characteristic $p$.

Division theorems for the rational cohomology of discriminant complements and applications to automorphism groups in finite characteristic