SOLVED:Let the dihedral group Dn be given by elements a of order n and b of order 2, where b a=a^-1 b (a) Show that a^m is conjugate to only itself and a^-m, and that a^m b is conjugate to a^m 2 k b, for any integer k (b) Write out the class equation for the dihedral group Dn . Note that you will need two cases: one when n is even, and one when n is odd.

Suppose F1 and F2 are distinct reflections in a dihedral group Dn such that F1 F2=F2 F1 . Prove that F1 F2=R180 | Numerade

Dihedral Angle | Definition, Calculation & Examples