A theory of Galois descent for finite inseparable extensions

Battiston, Giulia

doi:10.1090/proc/13713

A theory of Galois descent for finite inseparable extensions
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by Giulia Battiston PDF

Proc. Amer. Math. Soc. 146 (2018), 69-83 Request permission

Abstract:

We present a generalization of Galois descent to finite normal field extension $L/K$, using the Heerema–Galois group $\mathrm {Aut}(L[\overline {X}]/K[\overline {X}])$ where $L[\overline {X}]=L[X]/(X^{p^e})$ and $e$ is the exponent of $L$ over $K$.

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