The structure of some minus class groups, and Chinburg's third conjecture for abelian fields

DOI10.1007/PL00004647zbMath0919.11072OpenAlexW2063555005WikidataQ122898435 ScholiaQ122898435MaRDI QIDQ1273138

Cornelius Greither

Publication date: 8 March 1999

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00004647

zbMATH Keywords

Iwasawa theoryFitting idealStickelberger idealabelian field extensionsChinburg's invariantthird Chinburg class

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23) Cyclotomic extensions (11R18) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Other abelian and metabelian extensions (11R20)

Related Items (6)

Equivariant Main Conjecture, Fitting ideals and annihilators in Iwasawa theory ⋮ Unnamed Item ⋮ Fitting ideals of isotypic parts of even K-groups ⋮ Formules de classes pour les corps abéliens réels. (Class formulae for real Abelian fields) ⋮ On the Coates-Sinnott Conjecture ⋮ Fitting ideals of class groups of real fields with prime power conductor

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