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math.NT2002
Imaginary quadratic fields with Cl_2(k) = (2,2,2)
Elliot Benjamin, Franz Lemmermeyer, Chip 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…
math.NT2000
Imaginary quadratic fields k with Cl_2(k) = (2,2^m) and Rank Cl_2(k^1) = 2
Elliot Benjamin, Franz Lemmermeyer, Chip Snyder
We classify all complex quadratic number fields with 2-class group of type (2,2^m) whose Hilbert 2-class fields have class groups of 2-rank equal to 2. These fields all have 2-clas…