Let G be a finite group and p a prime.
(i)If P is an element of Syl_p(G) and H is a subgroup of G containing P,then prove that P is an element of Syl_p(H).
(ii)If H is a subgroup of G and Q is an element of Syl_p(H),then prove that gQg^-1 is an element of Syl_p(gHg^-1).