My professor of topology gave us a quick overview of the group theory results we will be needing later and among the things he said, is that a normal subgroup of a group G is a subgroup H such that for all x in G, xHx^{-1}=H.(adsbygoogle = window.adsbygoogle || []).push({});

Is this correct? The wiki article seems to indicate that equality btw xHx^{-1} and H is unnecessary, but rather that inclusion is sufficient.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

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

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

# Definition of normal subgroup

Loading...

Similar Threads for Definition normal subgroup |
---|

A Complex operators |

A On the equivalent definitions for solvable groups |

I How do I know if a matrix is positive definite? |

**Physics Forums | Science Articles, Homework Help, Discussion**