On the 2-primary Part of Tame Kernels of Real Quadratic Fields

• Published in: Acta mathematica Sinica. English series Vol. 32; no. 7; pp. 807 - 812
• Main Authors: Cheng, Xiao Yun, Guo, Xue Jun
• Format: Journal Article
• Language: English
• Published: Beijing Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 01.07.2016; Springer Nature B.V
• Subjects: Algebra; Fields (mathematics); Formulas (mathematics); Kernels; Mathematical analysis; Mathematical models; Mathematics; Mathematics and Statistics; Number theory; Studies; Symbols; Tame核; Texts; Theorems; 实二次域; 希尔伯特; 方程; 猜想; 科恩; 素数; class groups; Tame kernels; 11R70; diophantine equations; 19F15

Let F = Q（x/P）, where p = 8t ＋ 1 is a prime. In this paper, we prove that a speclm case of Qin＇s conjecture on the possible structure of the 2-primary part of K2OF up to 8-rank is a consequence of a conjecture of Cohen and Lagarias on the existence of governing fields. We also characterize the 16-ra...