The second cohomology groups of the group of units of a \({\mathbb{Z}}_ p\)- extension

DOI10.2748/TMJ/1178228904zbMath0539.12006OpenAlexW2052757593MaRDI QIDQ793780

Hiroshi Yamashita

Publication date: 1984

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178228904

zbMATH Keywords

unit groupsecond cohomology groupessential rank\({\mathbb{Z}}_ p\)- extension

Mathematics Subject Classification ID

Units and factorization (11R27) Galois cohomology (11S25) Iwasawa theory (11R23) Cyclotomic extensions (11R18) Galois cohomology (11R34)

Related Items (2)

A generalized Iwasawa's theorem and its application ⋮ Cohomology of normic systems and fake \(\mathbb{Z}_p\)-extensions

Cites Work

• A note on the group of units of an algebraic number field
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• On Cohomology Groups of Units for Z p -Extensions
• On Γ-extensions of algebraic number fields
• On the Iwasawa Invariants of Totally Real Number Fields

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