A theory of Galois descent for finite inseparable extensions

preprint2015arXivOpen access

Abstract

We present a generalization of Galois descent to finite modular normal field extension L/KL/K, using the Heerma-Galois group Aut(L[Xˉ]/K[Xˉ])Aut(L[\bar{X}]/K[\bar{X}]) where L[Xˉ]=L[X]/(Xpe)L[\bar{X}]=L[X]/(X^{p^e}) and ee is the exponent of LL over KK.

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