# holomorph of a group

If $G$ is a group, the *holomorph* of $G$ is the group
$G{\u22ca}_{\theta}\mathrm{Aut}(G)$
under the identity map $\theta :\mathrm{Aut}(G)\to \mathrm{Aut}(G)$.

Title | holomorph of a group |
---|---|

Canonical name | HolomorphOfAGroup |

Date of creation | 2013-03-22 17:22:50 |

Last modified on | 2013-03-22 17:22:50 |

Owner | rm50 (10146) |

Last modified by | rm50 (10146) |

Numerical id | 4 |

Author | rm50 (10146) |

Entry type | Definition |

Classification | msc 20E22 |

Synonym | holomorph |