Paper 3, Section I, D

Groups | Part IA, 2018

Find the order and the sign of the permutation (13)(2457)(815)S8(13)(2457)(815) \in S_{8}.

How many elements of S6S_{6} have order 6?6 ? And how many have order 3?3 ?

What is the greatest order of any element of A9A_{9} ?

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