The Genus Field and Genus Number in Algebraic Number Fields
From MaRDI portal
Publication:5550520
DOI10.1017/S0027763000024387zbMath0166.05901OpenAlexW1510757966MaRDI QIDQ5550520
Publication date: 1967
Published in: Nagoya Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0027763000024387
Related Items
Invariant generalized ideal classes -- structure theorems for \(p\)-class groups in \(p\)-extensions ⋮ Non-norm-Euclidean fields in basic \(Z_{l}\)-extensions ⋮ The Euler number and other arithmetical invariants for finite Galois extensions of algebraic number fields ⋮ On the Iwasawa \(\mu\)-invariants of branched \(\mathbf Z_p\)-covers ⋮ Rational and genus equivalence of forms ⋮ On central extensions of elementary abelian fields ⋮ On Prime Discriminants ⋮ On the Construction of Relative Genus Fields ⋮ Über das Geschlecht und Die Klassenzahl Eines Relativ-Galoischen Zahlkörpers vom Primzahlpotenzgrade ⋮ Galois 2-extensions unramified outside 2 ⋮ Construction of genus field and some applications ⋮ On Prime Discriminants ⋮ Class fields, Dirichlet characters, and extended genus fields of global function fields ⋮ On the existence of unramified \(p\)-extensions with prescribed Galois group ⋮ Distribution of genus numbers of abelian number fields ⋮ On Class Field Towers and the Rank of Ideal Class Groups ⋮ Notes on the class field towers of cyclic fields of degree \(\ell\) ⋮ The genus field of an algebraic function field ⋮ Notes on the class field towers of cyclic fields of degree \(\ell\) ⋮ Note on class number factors and prime decompositions ⋮ On nilpotent factors of congruent ideal class groups of Galois extensions ⋮ On the central class field mod of Galois extensions of an algebraic number field ⋮ Genus Group of Finite Galois Extensions ⋮ Eine allgemeine Geschlechtertheorie und ihre Anwendung auf Teilbarkeitsaussagen für Klassenzahlen algebraischer Zahlkörper ⋮ On the \(p\)-rank of the class group of a composite of algebraic number fields. ⋮ Zur Geschlechtertheorie algebraischer Zahlkörper ⋮ A prime decomposition symbol for a non-abelian central extension which is abelian over a bicyclic biquadratic field ⋮ On p-class groups of cyclic extensions of prime degree p of certain cyclotomic fields ⋮ Über die zentrale Klassenzahl eines relativ-Galoisschen Zahlkörpers ⋮ Some remarks on the relative genus fields ⋮ Genus theory and \(\varepsilon\)-conjectures on \(p\)-class groups ⋮ \(\ell\)-classes infinitésimales d'un corps de nombres algébriques ⋮ On capitulation of ideals of an algebraic number field ⋮ Cotorsion theories and splitters
Cites Work
