Prove that S = {e²kk € Z is a subgroup of G.
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- With H and K as in Exercise 18, prove that K is a normal subgroup of HK. Exercise18: If H is a subgroup of G, and K is a normal subgroup of G, prove that HK=KH.19. With and as in Exercise 18, prove that is a subgroup of . Exercise18: 18. If is a subgroup of , and is a normal subgroup of , prove that .Prove or disprove that H={ hGh1=h } is a subgroup of the group G if G is abelian.