On the structure of relative class groups. With an appendix of numerical examples

DOI10.5802/aif.1319zbMath0786.11065OpenAlexW2463060505MaRDI QIDQ1210510

Georges Gras

Publication date: 13 June 1993

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1993__43_1_1_0

zbMATH Keywords

numerical examplesstructure of relative class groups

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18)

Related Items

Invariant generalized ideal classes -- structure theorems for \(p\)-class groups in \(p\)-extensions ⋮ Anderson's module for cyclotomic fields of prime conductor ⋮ The 2-Ideal Class Groups of ℚ(ζl) ⋮ Making ideals principal by absolute abelian extensions

Cites Work

• Class fields of abelian extensions of \(\mathbb Q\)
• On the class groups of imaginary abelian fields
• Sur les \(\ell\)-classes d'idéaux dans les extensions cycliques rélatives de degré premier \(\ell\). I
• Nombre de $\varphi$-classes invariantes. Application aux classes des corps abéliens
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item