An extension of Iwasawa's theorem on finitely generated modules over power series rings

DOI10.1007/BF01165832zbMath0516.12003MaRDI QIDQ1052392

David S. Dummit

Publication date: 1983

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154952

zbMATH Keywords

Galois module structureHecke charactersfinitely generated modules over power series ringsGalois representations for CM-fieldsGalois structure of Galois groups of local fieldsZp-extensions

Mathematics Subject Classification ID

Galois theory (11R32) Galois theory (11S20) Cyclotomic extensions (11R18) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Formal power series rings (13F25)

Cites Work

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• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• Extensions of a local field with normal basis for principal units
• On the Iwasawa Invariants of Totally Real Number Fields

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