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Cohomology and projectivity of modules for finite group schemes

Christopher P. Bendel

math.RTarXiv:math/0008168

Abstract

Let G be a finite group scheme over an algebraically closed field of positive characteristic. Assume further that the connected component of G is unipotent. It is shown that the projectivity of a rational G-module can be detected on a family of closed subgroups. It is further shown that nilpotent cohomology or extension classes can be detected on this family of subgroups.

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