On a question of Hayes concerning integrality of Brumer elements

DOI10.1007/s40316-015-0039-1zbMath1387.11083OpenAlexW2276984768MaRDI QIDQ2398250

Cornelius Greither

Publication date: 15 August 2017

Published in: Annales Mathématiques du Québec (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40316-015-0039-1

zbMATH Keywords

class groupsintegralityBrumer elements\(L\)-functions of number fields

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42) Cyclotomic extensions (11R18)

Cites Work

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• Divisibility properties of values of partial zeta functions at non-positive integers
• Some cases of Brumer's conjecture for abelian CM extensions of totally real fields
• Annihilators of minus class groups of imaginary Abelian fields
• The mean number of 3-torsion elements in the class groups and ideal groups of quadratic orders
• On the Construction of Relative Genus Fields

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