On universal norms in \(\mathbb{Z}_ p\)-extensions

DOI10.5802/jtnb.112zbMath0833.11051OpenAlexW2332885944MaRDI QIDQ1805354

Cornelius Greither

Publication date: 17 March 1996

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_1994__6_2_205_0

zbMATH Keywords

Galois descentuniversal normsgroup of \(p\)-unitsexistence of a norm maprank on \(\mathbb{Z}_ p\)-extensions

Mathematics Subject Classification ID

Cyclotomic extensions (11R18) (K)-theory of global fields (11R70)

Related Items (11)

\(K_2\) and the Greenberg conjecture in multiple \(\mathbb Z_p\)-extensions ⋮ Iwasawa theory of Rubin-Stark units and class groups ⋮ On the cyclotomic norms and the Leopoldt and Gross-Kuz'min conjectures ⋮ Normes universelles et conjecture de Greenberg ⋮ Unnamed Item ⋮ On formulas for the index of the circular distributions ⋮ On universal norms and the first layers of \(\mathbb Z_p\)-extensions of a number field ⋮ On duality and Iwasawa descent ⋮ On the Galois structure of circular units in \(\mathbb{Z}_p\)-extensions ⋮ Théorie d’Iwasawa des unités de Stark et groupe de classes ⋮ On universal norms for $p$-adic representations in higher-rank Iwasawa theory

Cites Work

• On the structure of the \(K_ 2\) of the ring of integers in a number field
• On the Stickelberger ideal and the circular units of an abelian field
• Regulators and Iwasawa modules
• Cyclotomic units in \(\mathbb{Z}_p\)-extensions
• On a construction of \(p\)-units in abelian fields
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• An idelic approach to the wild kernel
• Galois descent and \(K_ 2\) of number fields
• On \(K_2\) and some classical conjectures in algebraic number theory
• The indecomposable $K_3$ of fields
• THE GROUP $ K_3$ FOR A FIELD
• THE TATE MODULE FOR ALGEBRAIC NUMBER FIELDS
• Unnamed Item
• Unnamed Item

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