Question: (3) Let c =(1245)(367). (a) Find a permutation 7 such that ro77! = (24 7 6)(1 5 3). (b) Show that two permutations in S,,

(3) Let c =(1245)(367). (a) Find a permutation 7 such that ro77! = (24 7 6)(1 5 3). (b) Show that two permutations in S,, have the same cycle structure if and only if they are conjugate. (Note that 2b gives one direction.)

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