On the existence of \(p\)-units and Minkowski units in totally real cyclic fields

DOI10.1007/BF02940796zbMath0869.11087OpenAlexW2316359049MaRDI QIDQ1349456

František Marko

Publication date: 22 July 1997

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02940796

zbMATH Keywords

Minkowski unit\(m\)-unittotally real cyclic number field

Mathematics Subject Classification ID

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

Related Items (5)

Unnamed Item ⋮ On the existence of Minkowski units in totally real cyclic fields ⋮ Cyclic extensions of prime degree and their \(p\)-adic regulators ⋮ Tame kernels of cubic cyclic fields ⋮ Valuations of \(p\)-adic regulators of cyclic cubic fields

Cites Work

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• On divisibility of class number of real abelian fields of prime conductor
• On the group of units of an absolutely cyclic number field of prime degree

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