8. (a) Write o = (4 5 6)(2 3)(1 2)(6 7 8) as a product of disjoint cycles and find the order of o. (b) Let n > 1 be an o
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8. (a) Write o = (4 5 6)(2 3)(1 2)(6 7 8) as a product of disjoint cycles and find the order of o. (b) Let n > 1 be an o
8. (a) Write o = (4 5 6)(2 3)(1 2)(6 7 8) as a product of disjoint cycles and find the order of o. (b) Let n > 1 be an odd integer. Show that Sn has an element of order 2(n − 2).
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