Imaginary quadratic fields with Cl2(k)≃(2,2,2)

[摘要] We characterize those imaginary quadratic number fields, k, with 2-class group of type (2, 2, 2) and with the 2-rank of the class group of its Hilbert 2-class field equal to 2. We then compute the length of the 2-class field tower of k. (C) 2003 Elsevier Inc. All rights reserved.

[发布日期] 2003-11-01