Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Infinitely Presented, Finitely Generated Group

  1. Sep 4, 2012 #1
    What's an example of a group that has finitely many generators, but cannot be presented using only finitely many relations? Are there any nice groups? They do exist, right?
  2. jcsd
  3. Sep 4, 2012 #2

    http://caissny.org/pdfs/A%20finitely%20generated,%20infinitely%20related%20group%20with%20trival%20multiplicator.PDF [Broken]

    I cannot say how nice this group is, but it doesn't look that evil.

    Last edited by a moderator: May 6, 2017
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook