Question: pls help me (9) Let n 2 2 and let H C Dn be a subgroup. Prove that either every element of H is a

pls help me

(9) Let n 2 2 and let H C Dn be a subgroup. Prove that either every element of H is a rotation or exactly half of the elements of H are rotations. Hint: Use that the product of two rotations is a rotations, the product of two reflections is a rotation and the product of a rotation and a reflection is another reflection
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