Eigenspaces of the ideal class group

DOI10.5802/aif.2908zbMath1315.11093OpenAlexW2332317646MaRDI QIDQ486836

Cornelius Greither, Radan Kučera

Publication date: 16 January 2015

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

Full work available at URL: http://www.numdam.org/item?id=AIF_2014__64_5_2165_0/

zbMATH Keywords

Euler systemsannihilators of the class groupeigenspaces of the ideal class groupGras' conjectureSinnott group of circular units

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)

Related Items (4)

Invariant generalized ideal classes -- structure theorems for \(p\)-class groups in \(p\)-extensions ⋮ Annihilators of the ideal class group of an imaginary cyclic field ⋮ Linear forms on Sinnott's module ⋮ Annihilators of the Ideal Class Group of a Cyclic Extension of an Imaginary Quadratic Field

Cites Work

• Linear forms on Sinnott's module
• Class fields of abelian extensions of \(\mathbb Q\)
• On the ideal class groups of real abelian number fields
• On the Stickelberger ideal and the circular units of an abelian field
• Kolyvagin systems of Stark units
• Onp-adicL-functions and cyclotomic fields. II
• On formulae for the class number of real Abelian fields
• Annihilators for the Class Group of a Cyclic Field of Prime Power Degree, II
• Formules de classes pour les corps abéliens réels. (Class formulae for real Abelian fields)
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