If N is normal in G, is its normal quotient (factor) group G/N normal as well?(adsbygoogle = window.adsbygoogle || []).push({});

And does it imply that any subgroup of G/N which has a form H/N is normal as well?

Is a subgroup of a normal subgrp normal as well. It appears that not always.

Thanks

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Normal Groups

Loading...

Similar Threads - Normal Groups | Date |
---|---|

I Notation N(H) for a subgroup | Oct 28, 2016 |

I Why only normal subgroup is used to obtain group quotient | Mar 5, 2016 |

Embedding Group as a Normal Subgroup | Apr 25, 2014 |

Groups of order 12 whose 3-Sylow subgroups are not normal. | Mar 23, 2013 |

Minimal normal subgroup of a finite group. | Nov 20, 2012 |

**Physics Forums - The Fusion of Science and Community**