The structure of the Iwasawa module associated with a \(\mathbb{Z}^ r_ p\)-extension of a \(p\)-adic local field of characteristic 0

DOI10.1016/0022-314X(91)90092-PzbMath0737.11029OpenAlexW2010488962MaRDI QIDQ1174961

Donihakalu Shankar Nagaraj

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0022-314x(91)90092-p

zbMATH Keywords

Galois extensionrankdepthIwasawa modulemaximal abelian pro-\(p\)-extension

Mathematics Subject Classification ID

Galois theory (11S20) Iwasawa theory (11R23)

Cites Work

• On the structure of certain Galois groups
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• Sur la structure galoisienne des corps locaux et la théorie d'Iwasawa. II.
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