Let G be a group with|G|=pq,where p>q are distinct primes.(i)Show that G has normal Sylow p-subgroup.?

Question

1.Let G be a group with|G|=pq,where p>q are distinct primes.(i)Show that G has normal Sylow p-subgroup.(ii)if G is non-abelian,then show that q|(p-1)and calculate the number of Sylow q-subgroups in G.

Answer 1

you need to be over in the math category..