Let n = 2k with k > 2. (a) Prove that pk is an element of...

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Let n = 2k with k > 2. (a) Prove that pk is an element of order 2 which commutes with all elements of D2n (b) Prove that pk is the only non-identity element which commutes with all elements of D2n Let n = 2k with k > 2. (a) Prove that pk is an element of order 2 which commutes with all elements of D2n (b) Prove that pk is the only non-identity element which commutes with all elements of D2n