Question

Let R be any rotation and F be any reflection in the dihedral group Dn where...

Let R be any rotation and F be any reflection in the dihedral group Dn where n>= 3.

a) Prove that FRF=R^-1

b) Prove that if FR=RF then R=R0 or R=R180

c) Prove that Dn is not Abelian

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