Imaginary quadratic fields with Cl2(k) = (2,2,2), by E. Benjamin, F. Lemmermeyer, C. Snyder

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.

E. Benjamin, F. Lemmermeyer, C. Snyder <franzl@csusm.edu>