Find the composition of the following cycles representing permutations on N. Write your

Chapter 5, Problem 58

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QUESTION:

Find the composition of the following cycles representing permutations on N. Write your answer as a composition of one or more disjoint cycles. a. (3, 5, 2) + (6, 2, 4, 1) + (4, 8, 6, 2) b. (1, 5, 13, 2, 6) + (3, 6, 4, 13) + (13, 2, 6, 1) c (1, 2) + (1, 3) + (1, 4) + (1, 5)

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QUESTION:

Find the composition of the following cycles representing permutations on N. Write your answer as a composition of one or more disjoint cycles. a. (3, 5, 2) + (6, 2, 4, 1) + (4, 8, 6, 2) b. (1, 5, 13, 2, 6) + (3, 6, 4, 13) + (13, 2, 6, 1) c (1, 2) + (1, 3) + (1, 4) + (1, 5)

ANSWER:

Step 1 of 3

a.

 into one or more disjoint cycles:

The composition of the given cycle into one or more cycles can be obtained as:

First, convert them into array form:

Now to disjoint cycles:

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