Ramification Groups of Nonabelian Kummer Extensions
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...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 1997
ISSN: 0022-314X
DOI: 10.1006/jnth.1997.2140