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

arXiv0807.1135MaRDI QIDQ6120512

Mortarino Majno di Capriglio, Filippo Nuccio, Luca Caputo

Publication date: 21 February 2024

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.1135

zbMATH Keywords

Iwasawa theorydihedral Galois extensionnormic systemsunits in profinite extensions

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23) Galois cohomology (11R34) Other abelian and metabelian extensions (11R20)

Cites Work

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• On the Leopoldt conjecture on the p-adic regulators
• Riemann-Hurwitz formula and p-adic Galois representations for number fields
• Regulators and Iwasawa modules
• On the anticyclotomic main conjecture for CM fields
• Iwasawa invariants of some non-cyclotomic \(\mathbb{Z}_p\)-extensions
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• A note on the capitulation in \(\mathbb{Z}_ p\)-extensions
• On Cohomology Groups of Units for Z p -Extensions
• Cyclotomic units and class groups in _p-extensions of real abelian fields
• The μ-invariant of anticyclotomic L-functions of imaginary quadratic fields
• On Iwasawa's λ-invariant for certain $Z_l$-extensions
• CLASS NUMBER FORMULA FOR DIHEDRAL EXTENSIONS
• Des catégories abéliennes
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