A~ramification filtration of the Galois group of a~local field.~III
Izvestiya. Mathematics , Tome 62 (1998) no. 5, pp. 857-900

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Let $K$ be a complete discrete valuation field of characteristic $p>0$ with a finite residue field and let $\Gamma(p)$ be the Galois group of its maximal $p$-extension. The main result of this paper describes the image of the ramification filtration of the Galois group of the field $K$ in $\Gamma(p)$ modulo its subgroup of commutators of weight $\geqslant p$ in terms of the generators of the group $\Gamma(p)$.
@article{IM2_1998_62_5_a0,
     author = {V. A. Abrashkin},
     title = {A~ramification filtration of the {Galois} group of a~local {field.~III}},
     journal = {Izvestiya. Mathematics },
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     number = {5},
     year = {1998},
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     url = {http://geodesic.mathdoc.fr/item/IM2_1998_62_5_a0/}
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V. A. Abrashkin. A~ramification filtration of the Galois group of a~local field.~III. Izvestiya. Mathematics , Tome 62 (1998) no. 5, pp. 857-900. http://geodesic.mathdoc.fr/item/IM2_1998_62_5_a0/