# Galois conjugate

Let $K$ be a field, and let $L$ be a separable closure. For any $x\in K$, the Galois conjugates of $x$ are the elements of $L$ which are in the orbit of $x$ under the group action of the absolute Galois group $G_{K}$ on $L$.

Title Galois conjugate GaloisConjugate 2013-03-22 12:12:25 2013-03-22 12:12:25 djao (24) djao (24) 7 djao (24) Definition msc 12F10