Let R be any rotation in some dihedral group and F, any reflection in the same group. Prove that F R F=R^-1 for all integers k.
Let R be any rotation in some dihedral group and F, any reflectio…
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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. 🦋 | 𝑶𝒑𝒆𝒏𝑴𝒂𝒕𝒉𝑪𝒊𝒓𝒄𝒍𝒆
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