The p-adic Kummer–Leopoldt constant: Normalized p-adic regulator

DOI10.1142/S1793042118500203zbMath1393.11071arXiv1701.06857MaRDI QIDQ3133116

Georges Gras

Publication date: 13 February 2018

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

Full work available at URL: https://arxiv.org/abs/1701.06857

zbMATH Keywords

class field theoryLeopoldt conjecture\(p\)-adic regulatorglobal unitsabelian \(p\)-ramificationcyclotomic fields.

Mathematics Subject Classification ID

Units and factorization (11R27) Class field theory (11R37) Class numbers, class groups, discriminants (11R29)

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Cites Work

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• On the Kummer-Leopoldt constant of a number field
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• Global \(\ell\)-adique clean field theory
• \(p\)-rational fields, \(p\)-regular fields and restricted ramification
• Units and norm residue symbol
• Lesθ-régulateurs locaux d'un nombre algébrique : Conjecturesp-adiques
• Kummer's lemma for $ℤ_p$-extensions over totally real number fields
• Kummer's and Iwasawa's Version of Leopoldt's Conjecture
• On the Bertrandias-Payan module in a p-extension -- capitulation kernel
• Units of irregular cyclotomic fields

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