Class groups in cyclic $\ell $-extensions: Comments on a paper by G. Cornell

DOI10.1090/S0002-9939-2013-11729-6zbMath1329.11119OpenAlexW2008742456MaRDI QIDQ2862166

Michael I. Rosen

Publication date: 14 November 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2013-11729-6

zbMATH Keywords

class groupscentral class fieldgenus field\(\ell\)-rank

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29)

Related Items

Distribution of prime ideals of higher residue degree across ideal classes in the class groups, ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group

Cites Work

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• Explicit CM theory for level 2-structures on abelian surfaces
• Über die zentrale Klassenzahl eines relativ-Galoisschen Zahlkörpers
• Relative Genus Theory and the Class Group of l-Extensions
• The Hasse Norm Theorem for Non-Cyclic Extensions of the Rationals