Imaginary quadratic fields with Cl_2(k) = (2,2,2)

Abstract

In this article we classify the complex quadratic number fields k with 2-class group of type (2,2,2) whose Hilbert 2-class fields have a 2-class group of rank 2, and then determine the length of their 2-class field towers.

References in corpus (1)

• Computation of Galois groups associated to the 2-class towers of some quadratic fields