# sharply multiply transitive

Let $G$ be a group, and $X$ a set that $G$ acts on, and let ${X}^{(n)}$ be the set of ordered $n$-tuples of distinct elements of $X$. Then the action of $G$ on $X$ is *sharply $n$-transitive ^{}* if $G$ acts regularly on ${X}^{(n)}$.

Title | sharply multiply transitive |
---|---|

Canonical name | SharplyMultiplyTransitive |

Date of creation | 2013-03-22 13:16:39 |

Last modified on | 2013-03-22 13:16:39 |

Owner | mathcam (2727) |

Last modified by | mathcam (2727) |

Numerical id | 5 |

Author | mathcam (2727) |

Entry type | Definition |

Classification | msc 20B20 |

Synonym | sharply $n$-transitive |