\(T\)-ranks of Iwasawa modules

DOI10.1016/j.jnt.2018.09.022zbMath1467.11103OpenAlexW2896443117MaRDI QIDQ1627928

Sören Kleine

Publication date: 3 December 2018

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2018.09.022

zbMATH Keywords

Galois cohomologyIwasawa invariantsGross's conjectureLeopoldt's conjectureChevalley's theoremuniversal normsFukuda modulesIwasawa algebra, \({\mathbb Z}_p\)-extensions

Mathematics Subject Classification ID

Units and factorization (11R27) Algebraic number theory computations (11Y40) Iwasawa theory (11R23) Galois cohomology (11R34)

Related Items (5)

On local and global bounds for Iwasawa \(\lambda\)-invariants ⋮ The equivariant Tamagawa number conjecture for abelian extensions of imaginary quadratic fields ⋮ On the rank of Leopoldt's and Gross's regulator maps ⋮ On two conjectures of Gross for large vanishing orders ⋮ On pseudo-null Iwasawa modules

Cites Work

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• Remarks on \(\mathbb{Z}_ p\)-extensions of number fields
• Invariant generalized ideal classes -- structure theorems for \(p\)-class groups in \(p\)-extensions
• Naive cyclotomic norms and logarithmic units
• Local behavior of Iwasawa’s invariants
• The Iwasawa Invariants of Γ-Extensions of a Fixed Number Field
• On Γ-extensions of algebraic number fields
• Classes logarithmiques des corps totalement reels

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