Encoding Valuations in Absolute Galois Groups Contents 1. Introduction 2 1.1 the Question 2 1.2 Notation 2 1.3 Main Results 2 1.3.1 Tamely Branching Henselian Elds 2 1.3.2 Abstract Decomposition Subgroups of G F
نویسنده
چکیده
The paper develops an Artin-Schreier theory for valued elds: mutatis mutandis, valuations on any eld F are encoded in the absolute Galois group G F of F , just like orderings. We present a Galois characterization of henselian elds as well as a purely group theoretic characterization of decomposition subgroups of G F for arbitrary elds F. The approach is elementary and self-contained.
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تاریخ انتشار 2007