Purely Inseparable Galois theory I: The Fundamental Theorem

2020/10/29 by Brantner, Lukas, Waldron, Joe
#12F15 #13B05 #14D15 #14D23 #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2010.15707

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 ∈ K for all x∈ F).

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