Question: Prove that in S n with n > = , any even permutation is a product of cycles of length three. Hint: (a,b)(b,c) = (a,b,

Prove that in Sn with n > = , any even permutation is a product of cycles of length three.

Hint: (a,b)(b,c) = (a,b, c) and (a,b)(c,d) = (a,b,c)(b, c, d)

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