Let Sn = Aut([n]) be the symmetric group for the set [n] = {1, 2, ...,...

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Let Sn = Aut([n]) be the symmetric group for the set [n] = {1, 2, ..., n). Find the cycle decomposition of the element (1, 2, 4)(5, 4, 1)(2, 8) ES8 and determine its order. Let Sn = Aut([n]) be the symmetric group for the set [n] = {1, 2, ..., n). Find the cycle decomposition of the element (1, 2, 4)(5, 4, 1)(2, 8) ES8 and determine its order.

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We can determine the cycle decomposition of the given element by applying the permutations in ... View the full answer