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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.
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.