On the \(p\)-adic completion of the units of a real abelian number field

DOI10.1016/J.JNT.2013.08.018zbMath1292.11120OpenAlexW1975657996MaRDI QIDQ2637175

Timothy All

Publication date: 7 February 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2013.08.018

zbMATH Keywords

cyclotomic unitsMinkowski unitGreenberg conjecture

Mathematics Subject Classification ID

Integral representations (11S23) Cyclotomic extensions (11R18) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)

Related Items (1)

Gauss sums, Stickelberger’s theorem and the Gras conjecture for ray class groups

Cites Work

• On the ideal class groups of real abelian number fields
• When is the augmentation ideal principal?
• On the Stickelberger ideal and the circular units of an abelian field
• On \(p\)-adic annihilators of real ideal classes
• On the Iwasawa Invariants of Totally Real Number Fields
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