ArticleOriginal scientific text
Title
Some results on local fields
Authors
Abstract
Let K be a local field with finite residue field of characteristic p. This paper is devoted to the study of the maximal abelian extension of K of exponent p-1 and its maximal p-abelian extension, especially the description of their Galois groups in solvable case. Then some properties of local fields in general case are studied too.
Keywords
Local fields, local number fields, Wild ramification, intermediate extension, standard p-over-extensions, semi-direct product, inertia group.
Bibliography
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Main language of publication
English
Published
2013
Published online
2015-07-15
Exact and natural sciences