English

Cohomology and projectivity of modules for finite group schemes

Representation Theory 2019-09-25 v1

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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Cite

@article{arxiv.math/0008168,
  title  = {Cohomology and projectivity of modules for finite group schemes},
  author = {Christopher P. Bendel},
  journal= {arXiv preprint arXiv:math/0008168},
  year   = {2019}
}

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21 pages