1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Number of generators

  1. Apr 30, 2007 #1
    Let p be a prime number. Find the number of generators of the cyclic group Z_(p^r), where r is an integer >=1.

    A small hint, please?
     
  2. jcsd
  3. Apr 30, 2007 #2

    Hurkyl

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    What do you know about generators of cyclic groups?
     
  4. May 1, 2007 #3
    Well, the generators are those which are relatively prime to p^r.
     
  5. May 1, 2007 #4

    Hurkyl

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    And don't you know an algorithm for computing how many integers in the range [0, n] are relatively prime to any number n?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Number of generators
  1. Generating prime numbers (Replies: 12)

  2. Random Number Generator (Replies: 126)

Loading...