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Properties of a group question.

  1. Nov 10, 2012 #1
    Suppose G is a group and g,h are elements of g.

    Does (g.h)n=gn.hn if we don't know what the groups operation is.
     
  2. jcsd
  3. Nov 10, 2012 #2

    HallsofIvy

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    In general, no. (gh)2= (gh)(gh) which, in a general group, is not the same as (gg)(hh)= g2h2. Of course, in a "commutative" group that would be true.
     
  4. Nov 10, 2012 #3
    That is actually really obvious should have thought about it a little harder.

    Thanks for the help.
     
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