# first isomorphism theorem

If $f:G\to H$ is a homomorphism of groups (or rings, or modules), then it induces an isomorphism^{} $G/\mathrm{ker}f\cong \mathrm{im}f$.

Title | first isomorphism theorem^{} |
---|---|

Canonical name | FirstIsomorphismTheorem |

Date of creation | 2013-03-22 12:03:39 |

Last modified on | 2013-03-22 12:03:39 |

Owner | rspuzio (6075) |

Last modified by | rspuzio (6075) |

Numerical id | 9 |

Author | rspuzio (6075) |

Entry type | Theorem |

Classification | msc 13A15 |

Classification | msc 20A05 |