Distinct elements and relations

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Homework Statement


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?
 

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