Following the line of thought opened by Exercise 34, complete the following with a condition involving n

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Following the line of thought opened by Exercise 34, complete the following with a condition involving n and r so that the resulting statement is a theorem: If σ is a cycle of length n, then σ' is also a cycle if and only if. ..

Data from Exercise 34

Show that if σ is a cycle of odd length, then σ2 is a cycle.


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