Abelian subgroups of pro-p Galois groups

It is proved that non-trivial normal abelian subgroups of the Galois group of the maximal Galois p-extension of a field F (where p is an odd prime) arise from p-henselian valuations with non-p-divisible value group, provided #(F/FP) p2 and F contains a primitive p-th root of unity. Also, a generaliz...

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Bibliographic Details
Main Authors: Engler, A, Koenigsmann, J
Format: Journal article
Language:English
Published: 1998