Problem: What is the order of L R60 in G?
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Introduction of the problem:
Let G = D6 be the dihedral group of order 12, H be the subgroup of G generated by R120 rotation of 120°, and K be the subgroup of G generated by where R120 is a counterclockwise R180L where L is a reflection.
Problem:
What is the order of L R60 in G?
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Updated the introduction of the problem. It was messed up.
Introduction of the problem:
Let G = D6 be the dihedral group of order 12, H be the subgroup of G generated by R120 where R120 is a counterclockwise rotation of 120°, and K be the subgroup of G generated by R180L where L is a reflection.
Problem:
What is the order of L R60 in G?
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