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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
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