On the l-divisibility of the relative class number of certain cyclic number fields

Kurt Girstmair

Displaying similar documents to “On the l-divisibility of the relative class number of certain cyclic number fields”

Tame kernels of quintic cyclic fields

Xia Wu (2008)

Acta Arithmetica

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The imaginary abelian number fields with class numbers equal to their genus class numbers

Ku-Young Chang, Soun-Hi Kwon (2000)

Journal de théorie des nombres de Bordeaux

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We know that there exist only finitely many imaginary abelian number fields with class numbers equal to their genus class numbers. Such non-quadratic cyclic number fields are completely determined in [Lou2,4] and [CK]. In this paper we determine all non-cyclic abelian number fields with class numbers equal to their genus class numbers, thus the one class in each genus problem is solved, except for the imaginary quadratic number fields.

The imaginary cyclic sextic fields with class numbers equal to their genus class numbers

Stéphane Louboutin (1998)

Colloquium Mathematicae

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It is known that there are only finitely many imaginary abelian number fields with class numbers equal to their genus class numbers. Here, we determine all the imaginary cyclic sextic fields with class numbers equal to their genus class numbers.