The 2-Ideal Class Groups of ℚ(ζl)

DOI10.1017/S0027763000007777zbMath1013.11074OpenAlexW1575630077MaRDI QIDQ2731028

Pietro Cornacchia

Publication date: 10 July 2003

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000007777

zbMATH Keywords

Galois cohomologycyclotomic fieldsGalois modulenarrow ideal class group2-part of ideal class groupssignature of units in number fields

Mathematics Subject Classification ID

Units and factorization (11R27) Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18)

Related Items (2)

A NOTE ON THE EQUIVALENCE OF THE PARITY OF CLASS NUMBERS AND THE SIGNATURE RANKS OF UNITS IN CYCLOTOMIC FIELDS ⋮ Note on class number parity of an abelian field of prime conductor

Cites Work

• Class groups of abelian fields, and the main conjecture
• Global units and ideal class groups
• On the structure of relative class groups. With an appendix of numerical examples
• Fitting ideals of class groups of real fields with prime power conductor
• Anderson's module for cyclotomic fields of prime conductor
• On the 2-component of the class group of certain cyclic extensions of degree \(2^ n\)
• The parity of the class number of the cyclotomic fields of prime conductor
• Minus class groups of the fields of the 𝑙-th roots of unity
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