Submission date: 4 June 2020

Abstract:

We study model theory of fields with actions of a fixed finite group scheme. We prove the existence and simplicity of a model companion of the theory of such actions, which generalizes our previous results about truncated iterative Hasse-Schmidt derivations and about Galois actions. As an application of our methods, we obtain a new model complete theory of actions of a finite group on fields of finite imperfection degree.

Mathematics Subject Classification: Primary 03C60, 14L15 Secondary 11S20

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Full text arXiv 2006.03147: pdf, ps.