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

Elliot Benjamin·Franz Lemmermeyer·Chip Snyder
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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.

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Elliot Benjamin, Franz Lemmermeyer, Chip Snyder. 2002-07-16. Imaginary quadratic fields with Cl_2(k) = (2,2,2). https://arxiv.org/abs/math/0207307

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