On the cyclicity of the 2-class group of the fields $\mathbb{Q}(i,\sqrt{p_1},\dots,\sqrt{p_n})$
Volume 196 / 2020
Acta Arithmetica 196 (2020), 53-68
MSC: 11R11, 11R21, 11R29, 11R37.
DOI: 10.4064/aa190618-16-12
Published online: 15 June 2020
Abstract
Let $n\geq 2$ be an integer and $p_1,\ldots ,p_n$ be distinct odd prime integers. We give the list of all imaginary multiquadratic number fields $ K_n=\mathbb {Q}(i,\sqrt {p_1},\ldots ,\sqrt {p_n})$ that have a cyclic 2-class group.
