Imaginary quadratic fields with Cl<sub>2</sub>(k) = (2,2,2), by E. Benjamin, F. Lemmermeyer, C. Snyder

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.

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