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

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

2002-07-16

arxiv.org/abs/math/0207307v1

Mathematics

Number Theory

Scientific paper

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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