Ramification groups and Artin conductors of radical extensions of \mathbb{Q}
نویسندگان
چکیده
منابع مشابه
Ramification Groups and Artin Conductors of Radical Extensions of Q
We study the ramification properties of the extensions Q(ζm, m √ a)/Q under the hypothesis that m is odd and if p | m than either p ∤ vp(a) or pvp(m) | vp(a) (vp(a) and vp(m) are the exponents with which p divides a and m). In particular we determine the higher ramification groups of the completed extensions and the Artin conductors of the characters of their Galois group. As an application, we...
متن کامل779 – 816 Ramification groups and Artin conductors of radical extensions of Q par Filippo VIVIANI
We study the ramification properties of the extensions Q(ζm, m √ a)/Q under the hypothesis that m is odd and if p | m than either p vp(a) or pp | vp(a) (vp(a) and vp(m) are the exponents with which p divides a and m). In particular we determine the higher ramification groups of the completed extensions and the Artin conductors of the characters of their Galois group. As an application, we give ...
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Let K be a local field of characteristic p > 0. The aim of this paper is to describe the ramification groups for the prop abelian extensions over K with regards to the Artin-SchreierWitt theory. We shall carry out this investigation entirely in the usual framework of local class field theory. This leads to a certain non-degenerate pairing that we shall define in detail, generalizing in this way...
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ژورنال
عنوان ژورنال: Journal de Théorie des Nombres de Bordeaux
سال: 2004
ISSN: 1246-7405
DOI: 10.5802/jtnb.470