AUTOMORPHISMS OF LOCAL FIELDS OF PERIOD p AND NILPOTENT CLASS < p
نویسنده
چکیده
Suppose K is a finite field extension of Qp containing a primitive p-th root of unity. Let ΓK(1) be the Galois group of a maximal p-extension of K with the Galois group of period p and nilpotent class < p. In the paper we describe the ramification filtration {ΓK(1)}v>0 and relate it to an explicit form of the Demushkin relation for ΓK(1). The results are given in terms of Lie algebras attached to involved groups by the classical equivalence of the categories of p-groups and Lie algebras of nilpotent class < p.
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