Abstract Algebra

(a) Let (1, 5, 2, 4, 3) e S5 . Determine the parity of the permutation points] (b) Show that the subset {c 1 c (5) = 5} of S5 isa subgroup of S5. points] (c) Prove that the subgroup {a e S5 c (5) = 5} of S5 is isomorphic to Abstract Algebra in part 3 that should say isomorphic to S_4