Let o (1,3,4,5)3 (1, 3, 2)-(3, 6,5) be an element of S6. (a) Express o in...

 

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Let o (1,3,4,5)3 (1, 3, 2)-¹(3, 6,5) be an element of S6. (a) Express o in two-line notation. (b) Express o -1 in two-line notation. (c) Express o as a product of disjoint cycles! (d) Express o as a product of transpositions in three different ways. (e) Is o even or odd? (f) Read the material on the order of a permutation order of o. Compute the Let o (1,3,4,5)3 (1, 3, 2)-¹(3, 6,5) be an element of S6. (a) Express o in two-line notation. (b) Express o -1 in two-line notation. (c) Express o as a product of disjoint cycles! (d) Express o as a product of transpositions in three different ways. (e) Is o even or odd? (f) Read the material on the order of a permutation order of o. Compute the