(b) Prove that if N 4 H, (N is normal subgroup of H) then o'(N)
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- 27. Suppose is a normal subgroup of order of a group . Prove that is contained in , the center of .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.Prove or disprove that H={ [ 1a01 ]|a } is a normal subgroup of the special linear group SL(2,).