Solution Found!
Let n be a positive integer. If n is odd, is an n-cycle an
Chapter 5, Problem 15E(choose chapter or problem)
QUESTION:
Problem 15E
Let n be a positive integer. If n is odd, is an n-cycle an odd or an even permutation? If n is even, is an n-cycle an odd or an even permutation?
Questions & Answers
QUESTION:
Problem 15E
Let n be a positive integer. If n is odd, is an n-cycle an odd or an even permutation? If n is even, is an n-cycle an odd or an even permutation?
ANSWER:
Step 1 of 2
For a given positive integer , permutation is a product such that it has cycles.
Thus, for positive odd integer , will always be even.
Hence, if is odd, the n-cycle will be an even permutation.