On 2-Class field towers of some imaginary quadratic number fields

Abstract

We construct an infinite family of imaginary quadratic number fields with 2-class groups of type (2,2,2) whose Hilbert 2-class fields are finite.

Cited by in corpus (1)

• Structure of $Gal(k_2^{(2)}/k)$ for some fields $k=Q(\sqrt{2p_1{p}_2},\sqrt{-1})$