Über die zentrale Klassenzahl eines relativ-Galoisschen Zahlkörpers

DOI10.1016/0022-314X(71)90007-2zbMath0219.12015MaRDI QIDQ2546913

Yoshiomi Furuta

Publication date: 1971

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

abelian extensioncentral class numberrelative Gaussian field

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)

Related Items

A note on central class fields ⋮ On central extensions of elementary abelian fields ⋮ On Class Field Towers and the Rank of Ideal Class Groups ⋮ Central class numbers in central class field towers ⋮ On nilpotent factors of congruent ideal class groups of Galois extensions ⋮ Extensions of the Hasse norm theorem ⋮ On the central class field mod of Galois extensions of an algebraic number field ⋮ Genera in Abelian Extensions ⋮ Real quadratic fields with abelian 2-class field tower ⋮ Class groups in cyclic $\ell $-extensions: Comments on a paper by G. Cornell

Cites Work

• A note on class numbers of algebraic number fields
• An Application of the Generalized Norm Residue Symbol
• On the Class Number of a Relatively Cyclic Number Field
• The Genus Field and Genus Number in Algebraic Number Fields
• Über das Geschlecht und Die Klassenzahl Eines Relativ-Galoischen Zahlkörpers vom Primzahlpotenzgrade