On \(p\)-adic annihilators of real ideal classes

DOI10.1016/j.jnt.2012.12.013zbMath1292.11121OpenAlexW2068683215MaRDI QIDQ2444497

Timothy All

Publication date: 9 April 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2012.12.013

zbMATH Keywords

class groupcyclotomic unitStickelberger elementSinnott index formula

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 (5)

On the \(p\)-adic completion of the units of a real abelian number field ⋮ On Stickelberger elements for \(\mathbb{Q}(\zeta_{p^{n + 1}})^+\) and \(p\)-adic \(L\)-functions ⋮ Gauss sums, Stickelberger’s theorem and the Gras conjecture for ray class groups ⋮ On a construction of \(C^1(\mathbb{Z}_p)\) functionals from \(\mathbb{Z}_p\)-extensions of algebraic number fields ⋮ Annulateurs de Stickelberger des groupes de classes logarithmiques

Cites Work

• Global units and ideal class groups
• On the ideal class groups of real abelian number fields
• On the Stickelberger ideal and the circular units of an abelian field
• On a construction of \(p\)-units in abelian fields
• On Modified Circular Units and Annihilation of real Classes

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