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Local fields and their extensions

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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.

Author(s): I. B. Fesenko and S. V. Vostokov
Edition: 2
Publisher: American Mathematical Society
Year: 2002

Language: English
Pages: 345