On the parity of the class number of the field \(\mathbb Q(\sqrt p,\sqrt q,\sqrt r)\)

DOI10.1006/jnth.1997.2190zbMath0913.11046OpenAlexW2079770970MaRDI QIDQ1385265

Michal Bulant

Publication date: 7 June 1999

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

Full work available at URL: https://doi.org/10.1006/jnth.1997.2190

zbMATH Keywords

cyclotomic unitsfundamental unitsDirichlet characterscrossed homomorphismsoctic fieldparity of the class number

Mathematics Subject Classification ID

Units and factorization (11R27) Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)

Related Items (5)

On the 2-class group of real multiquadratic fields ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the parity of the class number of multiquadratic number fields ⋮ On the class number of a compositum of real quadratic fields: an approach via circular units

Cites Work

• On the parity of the class number of a biquadratic field
• On the Stickelberger ideal and circular units of a compositum of quadratic fields

This page was built for publication: On the parity of the class number of the field \(\mathbb Q(\sqrt p,\sqrt q,\sqrt r)\)