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A four objects group

  1. May 15, 2006 #1
    I know that there are only two four objects groups.
    However, I want a term that will be true if and only M is a four objects group.
    Will saying that for every x in M, x^4=e will be enought? (Apart from the fact the also a 2 objects group is such a group)
    Or is it possible that for every x in M, x^4=e also for groups with more then 4 objects in it?

    Thanks in advance.
     
  2. jcsd
  3. May 15, 2006 #2

    matt grime

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    There are infinitely many groups that satisfy x^4=4 for all x in G: any product of 4-groups for instance.
     
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