Quadratic extensions of number fields with elementary abelian 2-prim \(K_2(O_F)\) of smallest rank

DOI10.1016/0022-314X(90)90138-HzbMath0693.12011MaRDI QIDQ584317

Ruth I. Berger

Publication date: 1990

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

zbMATH Keywords

Leopoldt's conjectureregular kernel\(K_2\) of number fieldstotally real quadratic extension of number fields

Mathematics Subject Classification ID

(K)-theory of global fields (11R70)

Related Items

Hermitian \(K\)-theory and 2-regularity for totally real number fields, Families of extensions of \(\mathfrak l\)-rational number fields, Class number parity and unit signature

Cites Work

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• Class fields of abelian extensions of \(\mathbb Q\)
• A note on the 2-part of \(K_ 2({\mathfrak o}_ F)\) for totally real number fields F
• Relations between \(K_2\) and Galois cohomology
• A finiteness theorem for K\(_2\) of a number field
• On Sylow 2-subgroups of K2OF for quadratic number fields F.
• Introduction to Algebraic K-Theory. (AM-72)
• On the 4-rank of the tame kernel \(K_2(\mathcal O)\) in positive definite terms