The class group of an absolutely abelian \(\ell\)-extension

zbMath0654.12006MaRDI QIDQ1108322

Gary Cornell, Michael I. Rosen

Publication date: 1988

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Galois groupclass numbercentral class fieldgenus fieldabsolutely abelian l-extension

Mathematics Subject Classification ID

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

Related Items (4)

A note on the splitting of the Hilbert class field ⋮ A note on the 3-class field tower of a cyclic cubic field. ⋮ On the vanishing of Iwasawa invariants of certain \((p,p)\)-extensions of \(\mathbb{Q}\) ⋮ On tamely ramified Iwasawa modules for \(\mathbb{Z}p\)-extensions of imaginary quadratic fields

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