Tame Kernels for Biquadratic Number Fields |
| |
Authors: | Qin Yue |
| |
Affiliation: | (1) Mathematics Department, Nanjing University of Aeronautics and Astronautics, Nanjing Jiangsu, 210016, P.R. China;(2) Mathematics Section, The Abdus Salam ICTP, Trieste, Italy |
| |
Abstract: | Let and , d1 and d2 squarefree integers, be an imaginary field and a biquadratic field, respectively. Let S be the set consisting of all infinite primes, all dyadic primes and all finite primes which ramify in E. Suppose the 4-rank of the class group of F is zero and the S-ideal class group of F has odd order, we give the forms of all elements of order ⩽ 2 in K2OE and use the Hurrelbrink and Kolster’s method [Hurrelbrink, J. and Kolster, M.: J. reine angew. Math. 499 (1998), 145–188] to obtain the forms of all elements of order 4 in K2OE. Received: September 2004 |
| |
Keywords: | Tame kernel class group transfer map |
本文献已被 SpringerLink 等数据库收录! |
|