A finiteness theorem for imaginary abelian number fields.
Stéphane Louboutin (1996)
Manuscripta mathematica
Similarity:
Displaying similar documents to “Abelian p-class field towers over the cyclotomic ℤₚ-extensions of imaginary quadratic fields”
A finiteness theorem for imaginary abelian number fields.
Lower bounds for relative class numbers of imaginary abelian number fields and CM-fields
Stéphane R. Louboutin (2006)
Acta Arithmetica
Similarity:
On the trace map between absolutely abelian number fields of equal conductor
Henri Johnston (2006)
Acta Arithmetica
Similarity:
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
Similarity:
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.
On the class number of some real abelian number fields of prime conductors
Stanislav Jakubec (2010)
Acta Arithmetica
Similarity:
Computation of relative class numbers of imaginary abelian number fields.
Louboutin, Stéphane (1998)
Experimental Mathematics
Similarity:
Formulae for the relative class number of an imaginary abelian field in the form of a product of determinants
Radan Kučera (2002)
Acta Mathematica et Informatica Universitatis Ostraviensis
Similarity:
An Upper Bound for the ...-Invariant of Imaginary Abelian Fields.
Tauno Metsänkylä (1983)
Mathematische Annalen
Similarity:
Remarks on unit indices of imaginary abelian number fields II.
Mikihito Hirabayashi, Ken-ichi Yoshino (1989)
Manuscripta mathematica
Similarity:
A note on Greenberg's cojecture for real abelian number fields.
Manabu Ozaki, Hisao Taya (1995)
Manuscripta mathematica
Similarity:
On the maximal unramified pro-2-extension of ℤ₂-extensions of certain real quadratic fields II
Yasushi Mizusawa (2005)
Acta Arithmetica
Similarity:
The non-abelian normal CM-fields of degree 36 with class number one
Ku-Young Chang, Soun-Hi Kwon (2002)
Acta Arithmetica
Similarity:
The class number one problem for the non-abelian normal CM-fields of degree 24 and 40
Young-Ho Park (2002)
Acta Arithmetica
Similarity:
On Imaginary abelian number fields of type (2, 2, ..., 2) with one class in each genus.
Ichiro Miyada (1995)
Manuscripta mathematica
Similarity:
A Note on the Normality of Unramified, Abelian Extensions of Quadratic Extensions.
Daniel J. Madden, William Yslas Velez (1979/80)
Manuscripta mathematica
Similarity: