Class number parity and unit signature

DOI10.1007/BF01236037zbMath0778.11062OpenAlexW2008010711MaRDI QIDQ1202430

Ruth I. Berger

Publication date: 1 February 1993

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01236037

zbMATH Keywords

totally realquadratic extensions\(2^ +\)-regular number fieldsclass number paritydyadic primeunits of independent signs

Mathematics Subject Classification ID

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

Related Items (2)

Families of extensions of \(\mathfrak l\)-rational number fields ⋮ Cyclic extensions of degree \(\ell\) over an \(\ell\)-regular number field

Cites Work

• Quadratic extensions of number fields with elementary abelian 2-prim \(K_2(O_F)\) of smallest rank
• On regular number fields
• Remarks on \(K_ 2\) of number fields
• Relations between \(K_2\) and Galois cohomology
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