I have the definition that if F is a finite field then a [itex]\in[/itex] F is a primitive root if ord(a) = |F|-1.(adsbygoogle = window.adsbygoogle || []).push({});

Now what I don't understand is how exactly are there [itex]\phi(|F|-1)[/itex] primitive roots?

(Note: This material is supposed not to use any group theory.)

**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!

# Primitive roots

Loading...

Similar Threads - Primitive roots | Date |
---|---|

Primitive roots of Z_32 | Oct 28, 2012 |

Primitive roots & Reduced residue system | Mar 3, 2010 |

Relationship between primitive roots of a prime | Nov 17, 2009 |

Primitive root modulo n | Jan 9, 2009 |

Primitive 5th root of unity extension | Aug 18, 2008 |

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