Imaginary bicyclic biquadratic fields with cyclic 2-class group
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Publication:1896588
DOI10.1006/JNTH.1995.1079zbMath0831.11059OpenAlexW1980365091MaRDI QIDQ1896588
Ramona R. Ranalli, Thomas M. McCall, Charles J. Parry
Publication date: 18 February 1996
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jnth.1995.1079
Related Items (23)
Fundamental units of real quadratic fields of odd class number ⋮ On the 2-class field tower of some imaginary biquadratic number fields ⋮ Hilbert genus fields of imaginary biquadratic fields ⋮ Sur un problème de capitulation du corps ℚ $\sqrt {p_1 p_2 } $ , i dont le 2-groupe de classes est élémentaire ⋮ The2-rankof the class group of some real cyclic quartic number fields II ⋮ The 2-class group of certain families of imaginary triquadratic fields ⋮ Sur le rang du 2-groupe de classes de 𝑄({√{𝑚}},{√{𝑑}}) où 𝑚=2 ou un premier 𝑝≡1(𝑚𝑜𝑑4) ⋮ On the rank of the 2-class group of \(\mathbb Q(\sqrt{p},\sqrt{q},\sqrt{-1})\) ⋮ On the cyclicity of the 2-class group of the fields $\mathbb{Q}(i,\sqrt{p_1},\dots,\sqrt{p_n})$ ⋮ On the rank of the 2-class group of some imaginary triquadratic number fields ⋮ Capitulation in the absolutely abelian extensions of some number fields. II ⋮ Hilbert genus fields of real biquadratic fields ⋮ ON THE STRONGLY AMBIGUOUS CLASSES OF 𝕜/ℚ(i) WHERE $\mathds{k} = {\mathbb Q}(\sqrt{2p_{1}p_{2}, i})$ ⋮ Group Theory and the Capitulation Problem for Some Number Fields ⋮ LE 2-RANG DU GROUPE DE CLASSES DE CERTAINS CORPS BIQUADRATIQUES ET APPLICATIONS ⋮ The 2-rank of the class group of some real cyclic quartic number fields ⋮ Coclass of ${\rm Gal}({\mathbb K}_2^{(2)}/{\mathbb K})$ for some fields ${\mathbb K} = {\mathbb Q}(\sqrt{p_1p_2q}, \sqrt{-1})$ with 2-class groups of types (2, 2, 2) ⋮ 2-Class groups of cyclotomic towers of imaginary biquadratic fields and applications ⋮ Necessary condition and sufficient for certain Galois group to be metacyclic ⋮ Unit groups of maximal orders in totally definite quaternion algebras over real quadratic fields ⋮ On Hilbert class field tower for some quartic number fields ⋮ On the $2$-class group of some number fields with large degree ⋮ On the Hilbert $2$-class field tower of some imaginary biquadratic number fields
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