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Compute the indicated operation involving the following permutations in S6: δ = ( 1 2 3...

Compute the indicated operation involving the following permutations in S6: δ = ( 1 2 3 4 5 6 3 1 4 5 6 2 ) σ = ( 1 2 3 4 5 6 2 4 5 1 6 3 ) µ = ( 1 2 3 4 5 6 5 2 4 3 1 6 )

a. δ2σ-2

b. µ23

c. Find the order of µ, |〈µ〉|.

d. Write σ as product of disjoint cycles, and as product of transpositions.

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