On the structure of the absolute Galois group of local fields with residue characteristic 2

In this thesis we give a description in terms of generators and relations of the Galois group of the maximal extension without simple ramification of a local field k with residue characteristic 2. Furthermore, we assume that the fourth roots of unity are not contained in the maximal tamely ramified extension of k and that k is of even degree over the field of 2-adic numbers. For fields of odd degree this has been done by Zelvenskii. Our proof uses methods similar to his.