The parity of the class number of the cyclotomic fields of prime conductor
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Publication:4372397
DOI10.1090/S0002-9939-97-03909-9zbMath1036.11509OpenAlexW1935972037MaRDI QIDQ4372397
Publication date: 11 December 1997
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03909-9
Units and factorization (11R27) Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18)
Related Items (9)
Triviality of Iwasawa module associated to some abelian fields of prime conductors ⋮ Anderson's module for cyclotomic fields of prime conductor ⋮ A NOTE ON THE EQUIVALENCE OF THE PARITY OF CLASS NUMBERS AND THE SIGNATURE RANKS OF UNITS IN CYCLOTOMIC FIELDS ⋮ Note on the Class Number of the pth Cyclotomic Field, II ⋮ Relative class numbers inside the \(p\)th cyclotomic field ⋮ A condition for divisibility of the class number of real \(p\)th cyclotomic field by an odd prime distinct from \(p\) ⋮ The 2-Ideal Class Groups of ℚ(ζl) ⋮ Note on the class number of the \(p\)th cyclotomic field. III. ⋮ Note on class number parity of an abelian field of prime conductor
Cites Work
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- Class groups of abelian fields, and the main conjecture
- On the Stickelberger ideal and the circular units of an abelian field
- Signature des unités cyclotomiques et parité du nombre de classes des extensions cycliques de \(Q\) de degré premier impair
- Critère de parité du nombre de classes des extensions abéliennes réelles de $Q$ de degré impair
- Unit signatures, and even class numbers, and relative class numbers.
- Units with norm - 1 and signatures of units.
- Class Number Parity for the pth Cyclotomic Field
- Minus class groups of the fields of the 𝑙-th roots of unity
- Totally Positive Units and Squares
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