# 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 |
---|---|

Canonical name | GaloisConjugate |

Date of creation | 2013-03-22 12:12:25 |

Last modified on | 2013-03-22 12:12:25 |

Owner | djao (24) |

Last modified by | djao (24) |

Numerical id | 7 |

Author | djao (24) |

Entry type | Definition |

Classification | msc 12F10 |