Exercise 10.2. Let a = (a₁ a₂...an) be an n-cycle in Sym(m) show that there is an element 3 such that a = 3(1 2 3 ...n)B-¹. Hint: start from the injection given by i goes to a; and extend this to a bijection [m] → [m]. Show that this bijection satisfies the above.

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