Some remarks on Leopoldt's conjecture

DOI10.1007/BF02567064zbMath0802.11042WikidataQ122927471 ScholiaQ122927471MaRDI QIDQ1313302

Tsutomu Shimada

Publication date: 15 December 1994

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155789

zbMATH Keywords

Galois extensionLeopoldt's conjecturecyclic extension of prime power degree

Mathematics Subject Classification ID

Units and factorization (11R27) Other abelian and metabelian extensions (11R20)

Cites Work

• Leopoldt's conjecture and Reiner's theorem
• Remarks on connections between the Leopoldt conjecture, p-class groups and unit groups of algebraic number fields
• On the Leopoldt conjecture on the p-adic regulators
• On the group of units of an abelian extension of an algebraic number field
• Kummer's and Iwasawa's Version of Leopoldt's Conjecture
• On the units of algebraic number fields

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