Cohomology and projectivity of modules for finite group schemes

Details Cohomology and projectivity of modules for finite group schemes Cohomology and projectivity of modules for finite group schemes

2000-08-22

arxiv.org/abs/math/0008168v1

Mathematics

Representation Theory

21 pages

Scientific paper

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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