The 3-part of the ideal class group of a certain family of real cyclotomic fields

DOI10.4064/aa180716-7-10zbMath1452.11131arXiv1810.07314OpenAlexW2964233573WikidataQ127555048 ScholiaQ127555048MaRDI QIDQ5237104

Eleni Agathocleous

Publication date: 16 October 2019

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.07314

zbMATH Keywords

capitulationcyclotomic fieldsideal class groupssextic fieldscomposite conductor

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18) Totally real fields (11R80)

Related Items (1)

Primary rank of the class group of real cyclotomic fields

Uses Software

• Mathematica
• PARI/GP

Cites Work

• Unnamed Item
• Visibility of ideal classes
• The determination of units in real cyclic sextic fields
• On the class numbers of real cyclotomic fields of conductor pq
• On Real Cyclic Sextic Fields
• Méthodes et algorithmes pour le calcul numérique du nombre de classes et de unités des extensions cubiques cycliques de Q.
• Ideal class groups of cyclotomic number fields II

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