Be clear on your proofs. Give all details and explain why each claim you make is justified. Write in complete sentences. Give the level of detail in your solutions which I have given in the solutions I have posted. Do not work with anyone else; if you have specific questions then e-mail me. 5. (Exercise 11.5.5) If P is a normal Sylowp-subgroup of a finite group G and f: G-G is an endomorphism (that is, a homomorphism mapping G to G), then f(P)