Local fields and their extensions

I. B. Fesenko and S. V. Vostokov9780821832592, 082183259X

The authors’ major focus is the description of Abelian extensions. Arithmetical properties of local fields are investigated and Milnor’s K-groups for local fields are calculated. Two appendices briefly introduce multidimensional local class field theory and describe the structure for the absolute Galois group of a local field. Numerous exercises are included.