Let S 8 be the permutation 1 2 3 4 5 6 7 8 3 5 1 6 2 8 7 4 a) Find 1 b) Express as a product of disjoint cycles c) Express as a product of transpositions d) Is A 8 Explain very briefly 1 Let OE S' be the permutation 0 3 6 I I CT 10 6 8 ( a ) Find 1 ( b ) Express as a product of disjoint cycles ( C ) Express as a product of transpositions ( d ) Is OE Ag Explain very briefly

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Question: Let S 8 be the permutation = | 1 2 3 4 5 6 7 8| | 3 5 1 6 2 8 7 4|

Let S₈ be the permutation

| 1 2 3 4 5 6 7 8|

| 3 5 1 6 2 8 7 4|

a) Find 1 .

b) Express as a product of disjoint cycles.

c) Express as a product of transpositions.

d) Is A₈ ? Explain very briefly.

1 . Let OE S'& be the permutation 0 = 3 6 I I CT 10 6 8 ( a ) Find - - 1 . ( b ) Express " as a product of disjoint cycles . ( C ) Express " as a product of transpositions . ( d ) Is OE Ag ? Explain very briefly

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