e Let G be a group and let S C G. Let N be the intersection of all normal subgroups H of G such that S C H. (a) Prove that N : (b) Prove that N =...

Please help me prove the following concerning normal subgroups.

e Let G be a group and let S C G. Let N be the intersection of allnormal subgroups H of G such that S C H. (a) Prove that N :1 G.(b) Prove that N = (T), Where T = {9399—1 :g E G, at E S}.