1. Consider the dihedral group D6, that is the group of symmetries of a regular hexagon. Recall that |D6| = 12. Answer e
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1. Consider the dihedral group D6, that is the group of symmetries of a regular hexagon. Recall that |D6| = 12. Answer e
1. Consider the dihedral group D6, that is the group of symmetries of a regular hexagon. Recall that |D6| = 12. Answer each question with justification. (a) What is the order of a 2-Sylow subgroup of D6? How many 2-Sylow subgroups of D6 are there? (b) What is the order of a 3-Sylow subgroup of D6? How many 3-Sylow subgroups of D6 are there?
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