Given a symmetric group S3 = {(1), (1 2), (1 3), (2 3), (1 2 3), (1 3 2)}. Given a set H ≤ S3 with H = {(1), (2 3)}. a) Prove that H is a subgroup of S3! b) Investigate whether H is a normal subgroup of S3? Explain your answer!

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