The genus field and genus group in finite number fields
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Publication:5599883
DOI10.1112/S0025579300001911zbMath0202.33005MaRDI QIDQ5599883
Publication date: 1959
Published in: Mathematika (Search for Journal in Brave)
Related Items (24)
The Genus Field and Genus Number in Algebraic Number Fields ⋮ Principal factors in a pure cubic field and its unramified cyclic cubic extensions ⋮ Genus fields of global fields ⋮ On the Construction of Relative Genus Fields ⋮ Über das Geschlecht und Die Klassenzahl Eines Relativ-Galoischen Zahlkörpers vom Primzahlpotenzgrade ⋮ Construction of genus field and some applications ⋮ Class fields, Dirichlet characters, and extended genus fields of global function fields ⋮ Statistics of genus numbers of cubic fields ⋮ Distribution of genus numbers of abelian number fields ⋮ Unnamed Item ⋮ Note on class number factors and prime decompositions ⋮ On nilpotent factors of congruent ideal class groups of Galois extensions ⋮ Composition and genera of norm-type forms ⋮ Genus fields of abelian extensions of rational congruence function fields. II ⋮ 3-Class groups of cubic cyclic function fields ⋮ On the central class field mod of Galois extensions of an algebraic number field ⋮ Eine allgemeine Geschlechtertheorie und ihre Anwendung auf Teilbarkeitsaussagen für Klassenzahlen algebraischer Zahlkörper ⋮ Arithmetic on groups of positive rationals ⋮ Genus fields of congruence function fields ⋮ Zur Geschlechtertheorie algebraischer Zahlkörper ⋮ Genus theory and \(\varepsilon\)-conjectures on \(p\)-class groups ⋮ Exponential growth of the 𝑙-rank of the class group of the maximal real subfield of cyclotomic fields ⋮ \(\ell\)-classes infinitésimales d'un corps de nombres algébriques ⋮ The construction of the Hilbert genus fields of real cyclic quartic fields
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