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Purely Inseparable Galois theory I: The Fundamental Theorem (2010.15707v5)
Published 29 Oct 2020 in math.NT, math.AG, and math.AT
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 $xp \in K$ for all $x\in F$).