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In: Advanced Math

a) Let σ = (1 2 3 4 5 6) ∈ S6, find the cycle decomposition...

a) Let σ = (1 2 3 4 5 6) ∈ S6, find the cycle decomposition of σ i for i = 1, 2, . . . , 6.

(b) Let σ1, . . . , σm ∈ Sn be disjoint cycles. For 1 ≤ i ≤ m, let ki be the length of σi . Determine o(σ1σ2 · · · σm)

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