S-unramified power class group
= S-unramified power class group
{c}
{title2=$K(S,n)$}
For a number field $K$ and a finite set $S$ of finite primes,
$$
K(S,n)=\{[x]\in K^*/(K^*)^n:v_\mathfrak p(x)\equiv0\pmod n\text{ for every }\mathfrak p\notin S\}.
$$