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Uniqueness of Group Presentations

  1. Aug 4, 2010 #1
    I had a few most questions which should be trivial for the group theorists out there, but since I'm still relatively new to this, they have me stumped:

    1. Given a presentation, how can one verify it is unique?
    2. Given a presentation, how can one verify it is minimal aside from the obvious of manipulating relations into other relations?
    3. Given a presentation, how can one verify that one has included all relations? In other words, how can one verify that a presentation is indeed a presentation?
     
  2. jcsd
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