On Vandiver's conjecture and \({\mathbb{Z}}_ p\)-extensions of \({\mathbb{Q}}(\zeta_{p^ n})\)

DOI10.1016/0022-314X(89)90091-7zbMath0709.11058OpenAlexW2007681078WikidataQ123196031 ScholiaQ123196031MaRDI QIDQ921047

Johannes Michaliček, Ina Kersten

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0022-314x(89)90091-7

zbMATH Keywords

class numberHilbert class fieldIwasawa invariantideal class groupVandiver's conjecturemaximal totally real subfield

Mathematics Subject Classification ID

Iwasawa theory (11R23) Cyclotomic extensions (11R18)

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Cites Work

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• \(\mathbb Z_p\)-extensions of complex multiplication fields
• Kummer theory without roots of unity
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• Abelian Galois extensions of rings containing roots of unity
• On the Iwasawa Invariants of Totally Real Number Fields
• Galois Extensions as Modules over the Group Ring

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