Purely Inseparable Galois theory I: The Fundamental Theorem

Lukas Brantner; Joe Waldron

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arXiv · 2010.15707

Purely Inseparable Galois theory I: The Fundamental Theorem

Lukas Brantner·Joe Waldron

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Abstract

We construct a Galois correspondence for finite purely inseparable field extensions $F/K$, generalising a classical result of Jacobson for extensions of exponent one (where $x^p \in K$ for all $x\in F$).

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Lukas Brantner, Joe Waldron. 2023-01-09. Purely Inseparable Galois theory I: The Fundamental Theorem. https://arxiv.org/abs/2010.15707

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