11K views · 118 reactions | A dihedral group is the group of all symmetries (reflections & rotations) of a regular polygon. Dihedral groups are among the simplest examples of finite groups which play an important role in group theory, geometry, and chemistry. 曆 | 푶풑풆풏푴풂풕풉푪풊풓풄풍풆 | Facebook

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.

Are dihedral groups cyclic? - TimesMojo