# absolute Galois group

Let $k$ be a field. The absolute Galois group ${G}_{k}$ of $k$ is the Galois group $\mathrm{Gal}({k}^{\mathrm{sep}}/k)$ of the field extension ${k}^{\mathrm{sep}}/k$, where ${k}^{\mathrm{sep}}$ is the separable closure of $k$.

Title | absolute Galois group |
---|---|

Canonical name | AbsoluteGaloisGroup |

Date of creation | 2013-03-22 12:12:14 |

Last modified on | 2013-03-22 12:12:14 |

Owner | djao (24) |

Last modified by | djao (24) |

Numerical id | 7 |

Author | djao (24) |

Entry type | Definition |

Classification | msc 12F10 |