Cyclotomic units and class groups in p-extensions of real abelian fields

DOI10.1017/S0305004109990119zbMath1279.11108arXiv0812.0784OpenAlexW2137716995MaRDI QIDQ3400944

Filippo Nuccio

Publication date: 28 January 2010

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

Full work available at URL: https://arxiv.org/abs/0812.0784

zbMATH Keywords

Iwasawa theoryTate cohomologyGreenberg conjecture

Mathematics Subject Classification ID

Units and factorization (11R27) Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23) Cyclotomic extensions (11R18)

Related Items (1)

Cohomology of normic systems and fake \(\mathbb{Z}_p\)-extensions

Cites Work

• Unnamed Item
• Cohomology of class groups of cyclotomic fields; an application to Morse- Smale diffeomorphisms
• The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
• On the Stickelberger ideal and the circular units of an abelian field
• Unités cyclotomiques, unités semilocales et \(\mathbb{Z}_\ell\)-extensions. II
• Remarques sur les unites cyclotomiques et les unites elliptiques
• On the cyclotomic unit group and the ideal class group of a real abelian number field
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• On the Iwasawa Invariants of Totally Real Number Fields
• Onp-adicL-functions and cyclotomic fields. II
• Formules de classes pour les corps abéliens réels. (Class formulae for real Abelian fields)

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