Question 4 (Unit B3] 2!) marks The permutations p and q in 3'5 have two-line symbols _ 12345 and _ 12345 Fr'54231 q_51243' [a] Write down the permutations p, q, p1 and q1 in cycle form. {h} Write down the permutations po q and g o p in cycle form. {c} Write down the orders of p, q, p o q and q op. {d} Write down p and q as composites of transpositions, and state the parity ofpandtheparity ofq. {e} [i] Write down, in cycle form, the permutation s = q a pro q'1 [the conjugate of p by q}. [ii] Find, in cycle form, two other permutations in SE that conjugate p to s. [f] Write down, in cycle form, the elements of the cyclic subgroup H of 35 generated by p. [4] [3'] [2] [3] [4]