论文标题
$ 2 $ - 假想的双Quadratic领域和应用程序的环形塔组
$2$-class groups of cyclotomic towers of imaginary biquadratic fields and applications
论文作者
论文摘要
让$ d $成为一个无正方形的整数。在本文中，我们将调查环体循环$ \ mathbb {z} _2 $ extension的$ 2 $ class组的结构。此外，我们推断出$ 2 $ -CLASS组的结构。
Let $d$ be a positive square-free integer. In this paper we shall investigate the structure of the $2$-class group of the cyclotomic $\mathbb{Z}_2$-extension of the imaginary biquadratic number field $\mathbb{Q}(\sqrt{d},\sqrt{-1})$. Furthermore, we deduce the structure of the $2$-class group of cyclotomic $\mathbb{Z}_2$-extension of $\mathbb{Q}(\sqrt{-d})$.
