On the Stickelberger ideal and circular units of a compositum of quadratic fields

DOI10.1006/jnth.1996.0008zbMath0840.11044OpenAlexW2057693879MaRDI QIDQ1907855

Radan Kučera

Publication date: 19 March 1996

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

Full work available at URL: https://doi.org/10.1006/jnth.1996.0008

zbMATH Keywords

class numberquadratic number fieldsStickelberger idealcircular units

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Class numbers, class groups, discriminants (11R29)

Related Items (15)

A note on Sinnott's definition of circular units of an abelian field ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the parity of the class number of the field \(\mathbb Q(\sqrt p,\sqrt q,\sqrt r)\) ⋮ Annihilators of the ideal class group of an imaginary cyclic field ⋮ A short basis of the Stickelberger ideal of a cyclotomic field ⋮ Circular units in a bicyclic field. ⋮ Unnamed Item ⋮ On the index of circular units in the full group of units of a compositum of quadratic fields ⋮ Formulae for the relative class number of an imaginary abelian field in the form of a determinant ⋮ Circular units of an abelian field ramified at three primes ⋮ On the Galois structure of circular units in \(\mathbb{Z}_p\)-extensions ⋮ On the class number of a compositum of real quadratic fields: an approach via circular units

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