The 2-Sylow subgroup of \(K_2O_F\) for certain quadratic number fields

DOI10.1007/s11139-020-00251-4zbMath1486.11142OpenAlexW3042735534MaRDI QIDQ829701

Xia Wu

Publication date: 6 May 2021

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-020-00251-4

zbMATH Keywords

quadratic number fieldtame kernelideal class group

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29) (K)-theory of global fields (11R70) Symbols and arithmetic ((K)-theoretic aspects) (19F15)

Cites Work

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• On the structure of the \(K_ 2\) of the ring of integers in a number field
• Relations between \(K_2\) and Galois cohomology
• 2-Sylow subgroups of \(K_ 2O_ F\) for real quadratic fields \(F\)
• On Sylow 2-subgroups of K2OF for quadratic number fields F.
• Elementary abelian 2-primary parts of K₂
• The 2-Sylow subgroups of the tame kernel of imaginary quadratic fields
• The structure of the tame kernels of quadratic number fields (I)
• 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
• On the 2-primary part of K₂ of rings of integers in certain quadratic number fields
• Note on primes of type x2 + 32y2, class number, and residuacity.

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