# Frattini subgroup

Let $G$ be a group. The $\mathrm{\Phi}(G)$ of $G$ is the intersection^{} of all maximal subgroups of $G$.

Equivalently, $\mathrm{\Phi}(G)$ is the subgroup^{} of non-generators of $G$.

Title | Frattini subgroup^{} |
---|---|

Canonical name | FrattiniSubgroup |

Date of creation | 2013-03-22 12:23:41 |

Last modified on | 2013-03-22 12:23:41 |

Owner | Evandar (27) |

Last modified by | Evandar (27) |

Numerical id | 4 |

Author | Evandar (27) |

Entry type | Definition |

Classification | msc 20E99 |

Related topic | SomethingRelatedToBurnsideBasisTheorem |