Artin symbol
= Artin symbol
{c}
{title2=$\left(\frac{L/K}{\mathfrak p}\right)$}
{wiki}
For an unramified prime $\mathfrak p$ in an abelian extension $L/K$, the Artin symbol is the unique Galois element acting on residue fields by $x\mapsto x^{N\mathfrak p}$.