Galois Groups of Local Fields, Lie Algebras and Ramification
نویسنده
چکیده
Suppose K is a local field with finite residue field of characteristic p 6= 2 and K<p(M) is its maximal p-extension such that Gal(K<p(M)/K) has period p M and nilpotent class < p. If charK = 0 we assume that K contains a primitive p -th root of unity. The paper contains an overview of methods and results describing the structure of this Galois group together with its filtration by ramification subgroups.
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