Sorry if this is such a basic question, but I'm not sure about the answer and having trouble finding it in my text book. If I have a cyclic group G with generator g, and a homomorphism θ: G --> H, does this mean that θ(g) is a generator of H?(adsbygoogle = window.adsbygoogle || []).push({});

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

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!

# Are generators preserved under homomorphism?

Loading...

Similar Threads - generators preserved under | Date |
---|---|

A Example of how a rotation matrix preserves symmetry of PDE | Feb 10, 2018 |

I SU(2) generators | Jul 28, 2017 |

I ##SU(2)## generators in ##1##, ##2## and ##3## dimensions | Mar 16, 2017 |

I Rings Generated by Elements - Lovett, Example 5.2.1 ... ... | Feb 16, 2017 |

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