GROUP DETERMINANT FORMULAS AND CLASS NUMBERS OF CYCLOTOMIC FIELDS
نویسندگان
چکیده
منابع مشابه
Determinant formulas for class numbers in function fields
In this paper, by extending Kucera’s idea to the function field case, we obtain several determinant formulas involving the real class number and the relative class number of any subfield of cyclotomic function fields. We also provide several examples using these determinant formulas.
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Kummer’s criterion is that p divides the class number of Q(μp) if and only if it divides the numerator of some Bernoulli number Bk for k = 2, 4, . . . , p − 3. This talk will start with explaining how finite groups of Dirichlet characters are in bijection with finite Abelian extensions of Q, and why the class number of an Abelian CM field is “almost” computable. This computation involves the ge...
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ژورنال
عنوان ژورنال: Journal of the Korean Mathematical Society
سال: 2007
ISSN: 0304-9914
DOI: 10.4134/jkms.2007.44.3.499