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

Chip Snyder; Elliot Benjamin; Franz Lemmermeyer

arxiv: math/0207307 · v1 · submitted 2002-07-16 · 🧮 math.NT

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

Elliot Benjamin , Franz Lemmermeyer , Chip Snyder This is my paper

classification 🧮 math.NT

keywords classfieldsgroupquadraticarticleclassifycomplexdetermine

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

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