A ramification filtration of the Galois group of a local field. III

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 $\Gamma(p)$.