Let L/K be any separable extension of complete discrete valued fields of degree p. This work, is a study of some "standard over-extensions" of L/K, with the description of their Galois groups. The second target, which is the aim of this work, concerns the Galois closure of L/K. The study of the normal case has been done in some former work.

Tbilisi Mathematical Journal, Vol. 8(2) (2015), pp. 49-67