Solution Found!
Find the composition of the following cycles representing permutations on N. Write your
Chapter 5, Problem 58(choose chapter or problem)
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)
Questions & Answers
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: