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Distinct elements and relations

  1. Sep 10, 2008 #1
    1. The problem statement, all variables and given/known data
    The dihedral group D2n has elements e, x, x2, ..., xn-1, y, xy, x2y, ..., xn-1y and relations xn=e, y2=e (where e is identity) and yx=xn-1y

    (a) Show that D2n={ elements listed above} i.e. show that these elements are distinct

    (b) Show that xy=yxn-1

    (c) Is there an integer m between 1, ..., n-1 such that yxm=xmy?


    The problem I have is simply getting started as it's been so long since I've had any type of linear algebra/modern algebra courses.. If anyone could help me get started on this problem I'd greatly appreciate it.. How does one prove distinction?
     
  2. jcsd
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