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On first layers of \(\mathbb Z_p\)-extensions

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Publication:740926
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DOI10.1016/j.jnt.2013.05.017zbMath1318.11143OpenAlexW2035291523MaRDI QIDQ740926

Soogil Seo

Publication date: 9 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2013.05.017

zbMATH Keywords

\(\mathbb Z_p\)-extensionLeopoldt's conjectureVandiver's conjecture


Mathematics Subject Classification ID

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


Related Items

On the Galois structure of arithmetic cohomology. II: Ray class groups, On the cyclotomic norms and the Leopoldt and Gross-Kuz'min conjectures, Normes universelles et conjecture de Greenberg, On finite layers of \(\mathbb{Z}_l\)-extensions and \(K_2\)



Cites Work

  • Unnamed Item
  • Division values in local fields
  • On the Stickelberger ideal and the circular units of an abelian field
  • On the Stickelberger ideal and the circular units of a cyclotomic field
  • Semi-local units modulo cyclotomic units
  • On the Iwasawa Invariants of Totally Real Number Fields
  • $\Gamma $-extensions et invariants cyclotomiques
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