Let be cycles of length p, where p is a prime. Prove or disprove that is a cycle of length p.

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- Jan 13th 2009, 08:09 PMbulls6xProduct of two prime cycles
Let be cycles of length p, where p is a prime. Prove or disprove that is a cycle of length p.

- Jan 13th 2009, 09:27 PMNonCommAlg
it's trivially false: for example if you'll get a counter-example. a better question is to see if we can find all cycles of length such that is also a cycle of length

another question (probably easier): is it always true that if and are cycles of length in then is also a cycle of length ? - Jan 13th 2009, 09:28 PMThePerfectHacker