"If N is a cyclic subgroup that is normal in G with index n and Aut(N) has no element of order n then N is central."(adsbygoogle = window.adsbygoogle || []).push({});

Is this true?

I think it is, but I don't know how to go about proving it... anyone have a hint that could get me started?

**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!

# Center of a group

Loading...

Similar Threads - Center group | Date |
---|---|

Backwards difference matrix divided by negative delta x? | Nov 25, 2015 |

Centered Difference Matrix | Jun 16, 2015 |

Group center properties | Dec 2, 2011 |

Center of a Group | Oct 2, 2010 |

Group with no center | Mar 16, 2007 |

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