On tame kernel and class group in terms of quadratic forms.

DOI10.1006/jnth.2002.2808zbMath1035.11058OpenAlexW2082820938MaRDI QIDQ1864867

Qin Yue

Publication date: 23 March 2003

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

Full work available at URL: https://doi.org/10.1006/jnth.2002.2808

zbMATH Keywords

quadratic fieldsgenus theoryunramified cyclic degree 4 extension

Mathematics Subject Classification ID

Quadratic extensions (11R11) (K)-theory of global fields (11R70)

Related Items (3)

8-ranks of class groups of some imaginary quadratic number fields ⋮ The formula of 8-ranks of tame kernels ⋮ Tame kernels and further 4-rank densities.

Cites Work

• On the 2-part of the class number of imaginary quadratic number fields
• Relations between \(K_2\) and Galois cohomology
• Elements of order 4 of the Hilbert kernel in quadratic number fields
• On Sylow 2-subgroups of K2OF for quadratic number fields F.
• Tame kernels under relative quadratic extensions and Hilbert symbols
• The 4-rank of the tame kernel versus the 4-rank of the narrow class group in quadratic number fields
• The 2-Sylow subgroups of the tame kernel of imaginary quadratic fields
• The 4-rank of $K₂O_F$ for real quadratic fields F
• On elementary abelian 2-Sylow K₂ of rings of integers of certain quadratic number fields
• Note on primes of type x2 + 32y2, class number, and residuacity.
• On the 4-rank of the tame kernel \(K_2(\mathcal O)\) in positive definite terms
• Dyadic ideal, class group, and tame kernel in quadratic fields
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On tame kernel and class group in terms of quadratic forms.