Question

write the permutation (1248)(1234)(2358) as a product of disjoint
cycles. then compute the order and parity.

Answer #1

please write as a product of disjoint cycles. Determine if the
permutation is even or odd, and find its order.
(a)(1243)(3521)
(b) (12)(134)(152)

Compute the order of the permutation (1 6 3 9 4)(1 7 9)(2 8 7
4). [Note: These cycles are not disjoint.]

Write the permutation (17324)(568) as a product of
transpositions.

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...

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