1. Let G be a fintie group whose order is divisible by a prime p. Assume that (ab)^p = a^p.b^p for all a,b in G. Show that the p-Sylow subgruop of G is normal in G. 2. Find the number of Abelian groups of order 432. 3. Let G be a group of order 36 with a subgroup H of order 9. Show that H is normal in G.