Construction of class fields over cyclotomic fields

Ja Kyung Koo, Dong Sung Yoon

Let $\ell$ and $p$ be odd primes. For a positive integer $\mu$ let $k_{\mu }$ be the ray class field of $k=\mathbb{Q}(e^{2\pi i/\ell })$ modulo $2p^{\mu }$. We present certain class fields $K_{\mu }$ o…