Question: Abstract algebra question : 2. (a) Prove that S, is generated by the elements in the set {(ii+1) : 1sign). Hint: Consider conjugates, for example

Abstract algebra question :

2. (a) Prove that S, is generated by the elements in the set {(ii+1) : 1sign). Hint: Consider conjugates, for example (2 3) (1 2) (2 3)-1. (b) Prove that S, is generated by the two elements (1 2) and (1 2 3. ..n) for n > 3. Hint: Use (a)

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