On the 2-primary part of tame kernels of real quadratic fields

DOI10.1007/s10114-016-5053-yzbMath1419.11124OpenAlexW2431244433MaRDI QIDQ327277

Xiao Yun Cheng, Xue Jun Guo

Publication date: 19 October 2016

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-016-5053-y

zbMATH Keywords

class groupsdiophantine equationstame kernels

Mathematics Subject Classification ID

(K)-theory of global fields (11R70) Symbols and arithmetic ((K)-theoretic aspects) (19F15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the structure of the \(K_ 2\) of the ring of integers in a number field
• Remarks on \(K_ 2\) of number fields
• The structure of the 2-Sylow-subgroup of \(K_ 2({\mathfrak o})\). I
• 2-Sylow subgroups of \(K_ 2O_ F\) for real quadratic fields \(F\)
• The 2-Sylow subgroup of \(K_{2} O_{F}\) for number fields \(F\)
• Tame kernels and further 4-rank densities.
• Densities of 4-ranks of K₂(O)
• The 8-rank of tame kernels of quadratic number fields
• The Structure of the Tame Kernels of Quadratic Number Fields (III)
• A Note on the 4-Rank Densities ofK₂O_Ffor Quadratic Number FieldsF
• On the Existence of Fields Governing the 2-Invariants of the Classgroup of Q(√dp) as p Varies
• On Sylow 2-subgroups of K2OF for quadratic number fields F.
• Tame and wild kernels of quadratic imaginary number fields
• Tame kernels under relative quadratic extensions and Hilbert symbols
• The structure of the tame kernels of quadratic number fields (II)
• The 2-Sylow subgroups of the tame kernel of imaginary quadratic fields
• The structure of the tame kernels of quadratic number fields (I)
• A Note on 4-Rank Densities
• The 4-rank of $K₂O_F$ for real quadratic fields F
• On the 4-rank of tame kernels of quadratic number fields
• Note on primes of type x2 + 32y2, class number, and residuacity.

This page was built for publication: On the 2-primary part of tame kernels of real quadratic fields