Cohomology of finite group schemes over a field, by Eric M. Friedlander and Andrei Suslin

The main theorem of this paper is the following:

Theorem 1.1: Let $G$ be a finite group scheme and $M$ a finite dimensional rational $G$-module. Then $H^*(G,k)$ is a finitely generated $k$-algebra and $H^*(G,M)$ is a finite $H^*(G,k)$-module.

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