On the Hilbert 2-class field tower of some abelian 2-extensions over the field of rational numbers
نویسندگان
چکیده
منابع مشابه
Class numbers of some abelian extensions of rational function fields
Let P be a monic irreducible polynomial. In this paper we generalize the determinant formula for h(K Pn) of Bae and Kang and the formula for h−(KPn ) of Jung and Ahn to any subfields K of the cyclotomic function field KPn . By using these formulas, we calculate the class numbers h −(K), h(K+) of all subfields K of KP when q and deg(P ) are small.
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 2013
ISSN: 0011-4642,1572-9141
DOI: 10.1007/s10587-013-0075-4